Edit Profile (opens in new tab) Triebel, Hans Compute Distance To: Compute Author ID: triebel.hans Published as: Triebel, Hans; Triebel, H. Homepage: https://www.minet.uni-jena.de/fakultaet/mana/english/l_triebel-eng.html External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 258 Publications since 1962, including 44 Books 7 Contributions as Editor Reviewing Activity: 415 Reviews Biographic References: 1 Publication Co-Authors: 30 Co-Authors with 53 Joint Publications 500 Co-Co-Authors all top 5 Co-Authors 211 single-authored 13 Edmunds, David Eric 7 Haroske, Dorothee D. 5 Schulze, Bert-Wolfgang 4 Schmeisser, Hans-Jürgen 3 Cobos, Fernando 3 Winkelvoß, Heike 2 Kufner, Alois 2 Rosenthal, Marcel 1 Besoy, Blanca F. 1 Caetano, António M. 1 Carl, Bernd 1 Dominguez, Oscar 1 Edmunds, R. M. 1 Farkas, Walter 1 Fernández-Cabrera, Luz M. 1 Grünewald, Uta 1 Kretschmer, Hans 1 Kurke, Herbert 1 Leopold, Hans-Gerd 1 Long, Tran Duc 1 Lopes, Sofia O. 1 Malarski, Mircea 1 Mecke, Joseph 1 Novak, Erich 1 Pietsch, Albrecht 1 Sickel, Winfried 1 Skandera, Philipp 1 Stöckert, Bernd 1 Thiele, Rüdiger 1 Yang, Dachun all top 5 Serials 29 Mathematische Nachrichten 13 Studia Mathematica 9 Teubner-Texte zur Mathematik 8 Journal of Approximation Theory 7 Analysis Mathematica 6 Mathematische Annalen 6 Zeitschrift für Analysis und ihre Anwendungen 6 Revista Matemática Complutense 6 Monographs in Mathematics 5 Journal of the London Mathematical Society. Second Series 4 Archiv der Mathematik 4 Czechoslovak Mathematical Journal 4 Mathematische Zeitschrift 4 Proceedings of the London Mathematical Society. Third Series 4 EMS Tracts in Mathematics 4 EMS Series of Lectures in Mathematics 3 Arkiv för Matematik 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Publicationes Mathematicae 3 Journal of Complexity 3 Communications in Partial Differential Equations 3 Wissenschaftliche Zeitschrift der Friedrich-Schiller-Universität Jena. Mathematisch-Naturwissenschaftliche Reihe 3 Proceedings of the Steklov Institute of Mathematics 3 Modern Birkhäuser Classics 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Journal of Mathematical Analysis and Applications 2 Journal of Functional Analysis 2 Forum Mathematicum 2 The Journal of Fourier Analysis and Applications 2 Acta Mathematica Sinica. English Series 2 Journal of Function Spaces and Applications 2 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 2 Cambridge Tracts in Mathematics 2 Mathematik und ihre Anwendungen in Physik und Technik 2 Beiträge zur Analysis 1 Archive for Rational Mechanics and Analysis 1 Russian Mathematical Surveys 1 Commentationes Mathematicae Universitatis Carolinae 1 Functiones et Approximatio. Commentarii Mathematici 1 Inventiones Mathematicae 1 Manuscripta Mathematica 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Mitteilungen der Mathematischen Gesellschaft der Deutschen Demokratischen Republik 1 Numerical Functional Analysis and Optimization 1 Results in Mathematics 1 Annales Societatis Mathematicae Polonae. Seria I. Commentationes Mathematicae 1 Acta Mathematica Hungarica 1 Constructive Approximation 1 Mathematica Bohemica 1 Mathematics of the USSR, Sbornik 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Serdica 1 Wissenschaftliche Zeitschrift der Friedrich-Schiller-Universität Jena. Naturwissenschaftliche Reihe 1 Georgian Mathematical Journal 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Journal of Mathematics and Mechanics 1 Complex Variables and Elliptic Equations 1 Mathematics and its Applications. East European Series 1 North-Holland Mathematical Library 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Journal of Fixed Point Theory and Applications 1 Commentationes Mathematicae 1 EMS Textbooks in Mathematics 1 EAGLE all top 5 Fields 215 Functional analysis (46-XX) 65 Harmonic analysis on Euclidean spaces (42-XX) 60 Partial differential equations (35-XX) 56 Operator theory (47-XX) 23 Measure and integration (28-XX) 18 Approximations and expansions (41-XX) 10 General and overarching topics; collections (00-XX) 9 Fluid mechanics (76-XX) 8 Abstract harmonic analysis (43-XX) 8 Global analysis, analysis on manifolds (58-XX) 6 Differential geometry (53-XX) 5 Relativity and gravitational theory (83-XX) 4 Mechanics of particles and systems (70-XX) 3 History and biography (01-XX) 3 Real functions (26-XX) 3 Integral equations (45-XX) 3 Numerical analysis (65-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 187 Publications have been cited 6,918 times in 4,555 Documents Cited by ▼ Year ▼ Theory of function spaces. Zbl 0546.46028Triebel, Hans 917 1983 Interpolation theory. Function spaces. Differential operators. Zbl 0387.46033Triebel, Hans 781 1978 Interpolation theory, function spaces, differential operators. Zbl 0387.46032Triebel, Hans 725 1978 Theory of function spaces. Reprint of the 1983 original. Zbl 1235.46002Triebel, Hans 462 2010 Theory of function spaces II. Zbl 0763.46025Triebel, Hans 408 1992 Interpolation theory, function spaces, differential operators. 2nd rev. a. enl. ed. Zbl 0830.46028Triebel, Hans 333 1995 Theory of function spaces. III. Zbl 1104.46001Triebel, Hans 275 2006 Topics in Fourier analysis and function spaces. Zbl 0661.46024Schmeisser, H.-J.; Triebel, H. 245 1987 Function spaces, entropy numbers, differential operators. Zbl 0865.46020Edmunds, David E.; Triebel, Hans 197 1996 Theory of function spaces II. Reprint of the 1992 edition. Zbl 1235.46003Triebel, Hans 152 2010 Entropy numbers and approximation numbers in function spaces. II. Zbl 0778.46022Edmunds, D. E.; Triebel, H. 140 1992 Theory of function spaces. Zbl 0546.46027Triebel, Hans 135 1983 Fractals and spectra related to Fourier analysis and function spaces. Zbl 0898.46030Triebel, Hans 88 1997 Function spaces and wavelets on domains. Zbl 1158.46002Triebel, Hans 87 2008 Function spaces in Lipschitz domains and on Lipschitz manifolds. Characteristic functions as pointwise multipliers. Zbl 1034.46033Triebel, Hans 80 2002 Spaces of Besov-Hardy-Sobolev type. Zbl 0408.46024Triebel, Hans 77 1978 Hölder inequalities and sharp embeddings in function spaces of \(B_{pq}^ s\) and \(F_{pq}^ s\) type. Zbl 0820.46030Sickel, W.; Triebel, H. 71 1995 Bases in function spaces, sampling, discrepancy, numerical integration. Zbl 1202.46002Triebel, Hans 70 2010 The structure of functions. Zbl 0984.46021Triebel, Hans 69 2001 Local function spaces, heat and Navier-Stokes equations. Zbl 1280.46002Triebel, Hans 56 2013 Entropy numbers and approximation numbers in function spaces. Zbl 0629.46034Edmunds, D. E; Triebel, H. 54 1989 Distributions, Sobolev spaces, elliptic equations. Zbl 1133.46001Haroske, Dorothee D.; Triebel, Hans 49 2008 Hybrid function spaces, heat and Navier-Stokes equations. Zbl 1330.46003Triebel, Hans 47 2015 Spaces of distributions of Besov type on Euclidean n-space. Duality, interpolation. Zbl 0255.46026Triebel, Hans 45 1973 Höhere Analysis. Zbl 0257.47001Triebel, Hans 45 1972 Entropy numbers in weighted function spaces and eigenvalue distributions of some degenerate pseudodifferential operators. I. Zbl 0829.46019Haroske, Dorothee; Triebel, Hans 42 1994 Modulation spaces on the Euclidean n-space. Zbl 0521.46026Triebel, Hans 41 1983 Inequalities between eigenvalues, entropy numbers, and related quantities of compact operators in Banach spaces. Zbl 0465.47019Carl, Bernd; Triebel, Hans 40 1980 Topics in Fourier analysis and function spaces. Zbl 0661.46025Schmeisser, Hans-Jürgen; Triebel, Hans 39 1987 Fractals and spectra related to Fourier analysis and function spaces. Reprint of the 1997 original. Zbl 1208.46036Triebel, Hans 36 2011 Fourier analysis and function spaces. Selected topics. Zbl 0345.42003Triebel, Hans 35 1977 Wavelet bases and entropy numbers in weighted function spaces. Zbl 1078.46022Haroske, Dorothee D.; Triebel, Hans 33 2005 Sharp Sobolev embeddings and related Hardy inequalities: The critical case. Zbl 0935.46031Edmunds, David E.; Triebel, Hans 31 1999 Function spaces in Lipschitz domains and optimal rates of convergence for sampling. Zbl 1106.41014Novak, Erich; Triebel, Hans 29 2006 Characterizations of Besov-Hardy-Sobolev spaces: A unified approach. Zbl 0644.46017Triebel, Hans 27 1988 Spaces of Besov-Hardy-Sobolev type on complete Riemannian manifolds. Zbl 0664.46026Triebel, Hans 26 1986 Spectral theory for isotropic fractal drums. Zbl 0920.47044Edmunds, David; Triebel, Hans 24 1998 Über die Verteilung der Approximationszahlen kompakter Operatoren in Sobolev-Besov-Räumen. Zbl 0165.14501Triebel, Hans 24 1967 Interpolation theory. Function spaces. Differential operators. (Teoriya interpolyatsii, funktional’nye prostranstva, differentisial’nye operatory). Transl. from the English. Zbl 0531.46025Triebel, Hans 23 1980 Tempered homogeneous function spaces. Zbl 1336.46004Triebel, Hans 23 2015 Calderón-Zygmund operators in Morrey spaces. Zbl 1294.46038Rosenthal, Marcel; Triebel, Hans 23 2014 Spaces of distributions with weights. Multipliers in \(L_p\)-spaces with weights. Zbl 0376.46020Triebel, Hans 22 1977 Morrey spaces, their duals and preduals. Zbl 1321.46038Rosenthal, Marcel; Triebel, Hans 20 2015 Entropy and approximation numbers of limiting embeddings; an approach via Hardy inequalities and quadratic forms. Zbl 1242.47018Triebel, Hans 19 2012 Approximation numbers and entropy numbers of embeddings of fractional Besov-Sobolev spaces in Orlicz spaces. Zbl 0792.46024Triebel, Hans 19 1993 Interpolationstheorie für Banachideale von beschränkten linearen Operatoren. Zbl 0182.17002Pietsch, A.; Triebel, Hans 18 1968 Limits of Besov norms. Zbl 1222.46028Triebel, Hans 18 2011 Characterizations of Besov-Hardy-Sobolev spaces via harmonic functions, temperatures, and related means. Zbl 0487.46013Triebel, Hans 17 1982 Entropy numbers in weighted function spaces and eigenvalue distributions of some degenerate pseudodifferential operators. II. Zbl 0829.46020Haroske, Dorothee; Triebel, Hans 17 1994 Über die Existenz von Schauderbasen in Sobolev-Besov-Räumen. Isomorphiebeziehungen. Zbl 0251.46032Triebel, Hans 17 1973 Spaces of Kudrjavcev type. I: Interpolation, embedding, and structure. Zbl 0345.46031Triebel, Hans 16 1976 A note on wavelet bases in function spaces. Zbl 1064.46024Triebel, Hans 16 2004 Characterizations of function spaces on a complete Riemannian manifold with bounded geometry. Zbl 0637.46035Triebel, Hans 15 1987 Higher analysis. Transl. from the German by Bernhardt Simon. Zbl 0783.46001Triebel, Hans 14 1992 Eigenfrequencies of isotropic fractal drums. Zbl 0951.46012Edmunds, David; Triebel, Hans 14 1999 On Haar bases in Besov spaces. Zbl 0439.46025Triebel, Hans 13 1978 Recent developments in the theory of function spaces. Zbl 0611.46036Triebel, H. 12 1986 On Besov - Hardy - Sobolev spaces in domains and regular elliptic boundary value problems. The case \(0<p\leq\infty\). Zbl 0403.35034Triebel, Hans 12 1978 Embeddings of function spaces: a criterion in terms of differences. Zbl 1246.46030Haroske, Dorothee D.; Triebel, Hans 11 2011 Interpolationseigenschaften von Entropie- und Durchmesseridealen kompakter Operatoren. Zbl 0189.43702Triebel, Hans 11 1970 Characterizations of logarithmic Besov spaces in terms of differences, Fourier-analytical decompositions, wavelets and semi-groups. Zbl 1356.46026Cobos, Fernando; Domínguez, Óscar; Triebel, Hans 11 2016 Multiplication properties of the spaces \(B^s_{p,q}\) and \(F^s_{p,q}\). Quasi-Banach algebras of functions. Zbl 0363.46031Triebel, Hans 10 1977 Sampling numbers and embedding constants. Zbl 1129.46028Triebel, H. 10 2005 Eine Bemerkung zur nicht-kommutativen Interpolation. Zbl 0323.46029Triebel, Hans 10 1975 Local approximation spaces. Zbl 0695.46015Triebel, H. 10 1989 Sobolev–Besov spaces of measurable functions. Zbl 1229.46026Triebel, Hans 10 2010 Abstract and concrete logarithmic interpolation spaces. Zbl 1066.46016Cobos, Fernando; Fernández-Carrera, Luz M.; Triebel, Hans 9 2004 Erzeugung nuklearer lokalkonvexer Räume durch singuläre Differentialoperatoren zweiter Ordnung. Zbl 0165.14403Triebel, Hans 9 1967 General function spaces. III: (Spaces \(B^{g(x)}_{p,q}\) and \(F^{g(x)}_{p,q}\), \(1<p<\infty\): basic properties). Zbl 0374.46027Triebel, Hans 9 1977 Faber systems and their use in sampling, discrepancy, numerical integration. Zbl 1246.46001Triebel, Hans 8 2012 Intrinsic atomic characterizations of function spaces on domains. Zbl 0843.46022Triebel, Hans; Winkelvoß, Heike 8 1996 Logarithmic Sobolev spaces and their applications to spectral theory. Zbl 0835.46028Edmunds, D. E.; Triebel, H. 8 1995 Non-smooth atoms and pointwise multipliers in function spaces. Zbl 1223.46037Triebel, Hans 8 2003 Numerical integration and discrepancy, a new approach. Zbl 1187.41015Triebel, Hans 8 2010 Erzeugung des nuklearen lokalkonvexen Raumes \(C^ \infty (\overline\Omega)\) durch einen elliptischen Differentialoperator zweiter Ordnung. Zbl 0169.15902Triebel, Hans 8 1968 Relations between approximation numbers and entropy numbers. Zbl 0811.47020Triebel, Hans 8 1994 Function spaces on Lie groups, the Riemannian approach. Zbl 0587.46036Triebel, Hans 8 1987 Interpolation properties of \(\varepsilon\)-entropy and diameters. Geometric characteristics of imbedding for function spaces of Sobolev- Besov type. Zbl 0351.46024Triebel, Hans 7 1977 Approximation numbers in function spaces and the distribution of eigenvalues of some fractal elliptic operators. Zbl 1130.46305Triebel, Hans 7 2004 Singuläre elliptische Differentialgleichungen und Interpolationssätze für Sobolev-Slobodeckij-Räume mit Gewichtsfunktionen. Zbl 0167.44401Triebel, Hans 7 1969 Interpolation theory for function spaces of Besov type defined in domains. II. Zbl 0233.46049Triebel, Hans 7 1973 Complex interpolation and Fourier multipliers for the spaces \(B^s_{p,q}\) and \(F^s_{p,q}\) of Besov-Hardy-Sobolev type: The case \(0<p\leq\infty, 0<q\leq\infty\). Zbl 0449.42014Triebel, Hans 7 1981 Spline bases and spline representations in function spaces. Zbl 0465.46022Triebel, Hans 7 1981 Theory of function spaces. IV. Zbl 1445.46002Triebel, Hans 7 2020 On spaces of \(B^s_{\infty,q}\) type and \(\mathcal c^s\) type. Zbl 0394.46029Triebel, Hans 7 1978 Function spaces, entropy numbers, differential operators. Paperback reprint of the hardback edition 1996. Zbl 1143.46001Edmunds, David E.; Triebel, Hans 7 2008 The structure of functions. Reprint of the 2001 hardback ed. Zbl 1282.46002Triebel, Hans 7 2013 Anisotropic function spaces. I: Hardy’s inequality, decompositions. Zbl 0556.46017Triebel, Hans 6 1984 Gagliardo-Nirenberg inequalities. Zbl 1314.46050Triebel, Hans 6 2014 Decompositions of function spaces. Zbl 0920.46027Triebel, Hans 6 1999 Logarithmic spaces and related trace problems. Zbl 0924.46029Edmunds, David; Triebel, Hans 6 1998 Allgemeine Legendresche Differentialoperatoren. I: Selbstjungiertheit, Defektindex, Definitionsgebiete ganzer Potenzen, Erzeugung der lokalkonvexen Räume \(C^\infty_{s,t}[a,b]\). Zbl 0195.42701Triebel, Hans 6 1970 Spectral invariance for pseudodifferential operators on weighted function spaces. Zbl 0810.35173Leopold, Hans-Gerd; Triebel, Hans 6 1994 Sharp Sobolev embeddings and related Hardy inequalities: The sub-critical case. Zbl 0945.46018Triebel, Hans 6 1999 Hardy inequalities in function spaces. Zbl 0940.46016Triebel, Hans 6 1999 A new approach to function spaces on quasi-metric spaces. Zbl 1091.46021Triebel, Hans 6 2005 Local means and wavelets in function spaces. Zbl 1145.46021Triebel, Hans 6 2008 Decomposition methods for function spaces of \(B^s_{p,q}\) type and \(F^s_{p,q}\) type. Zbl 0421.46026Stöckert, Bernd; Triebel, Hans 6 1979 PDE models for chemotaxis and hydrodynamics in supercritical function spaces. Zbl 1372.35005Triebel, Hans 5 2017 The distribution of eigenfrequencies of anisotropic fractal drums. Zbl 0940.46018Farkas, Walter; Triebel, Hans 5 1999 Theory of function spaces. IV. Zbl 1445.46002Triebel, Hans 7 2020 Function spaces with dominating mixed smoothness. Zbl 1414.46005Triebel, Hans 4 2019 An approach to wavelet isomorphisms of function spaces via atomic representations. Zbl 1417.46024Haroske, Dorothee D.; Skandera, Philipp; Triebel, Hans 5 2018 PDE models for chemotaxis and hydrodynamics in supercritical function spaces. Zbl 1372.35005Triebel, Hans 5 2017 Nuclear embeddings in function spaces. Zbl 1391.46043Triebel, Hans 3 2017 The Fatou property of function spaces, heat kernels, admissible norms and mapping properties. Zbl 1390.46037Triebel, Hans 1 2017 Tempered homogeneous function spaces. III. Zbl 1399.46050Triebel, H. 1 2017 Tempered homogeneous function spaces. II. Zbl 1395.46030Triebel, Hans 1 2017 Characterizations of logarithmic Besov spaces in terms of differences, Fourier-analytical decompositions, wavelets and semi-groups. Zbl 1356.46026Cobos, Fernando; Domínguez, Óscar; Triebel, Hans 11 2016 A note on function spaces in rough domains. Zbl 1361.46034Triebel, Hans 1 2016 Hybrid function spaces, heat and Navier-Stokes equations. Zbl 1330.46003Triebel, Hans 47 2015 Tempered homogeneous function spaces. Zbl 1336.46004Triebel, Hans 23 2015 Morrey spaces, their duals and preduals. Zbl 1321.46038Rosenthal, Marcel; Triebel, Hans 20 2015 Calderón-Zygmund operators in Morrey spaces. Zbl 1294.46038Rosenthal, Marcel; Triebel, Hans 23 2014 Gagliardo-Nirenberg inequalities. Zbl 1314.46050Triebel, Hans 6 2014 Tractable embeddings of Besov spaces into Zygmund spaces. II. Zbl 1323.46029Triebel, Hans 1 2014 Local function spaces, heat and Navier-Stokes equations. Zbl 1280.46002Triebel, Hans 56 2013 The structure of functions. Reprint of the 2001 hardback ed. Zbl 1282.46002Triebel, Hans 7 2013 Some recent developments in the theory of function spaces involving differences. Zbl 1294.46032Haroske, Dorothee D.; Triebel, Hans 4 2013 Characterizations of some function spaces in terms of Haar wavelets. Zbl 1298.46037Triebel, Hans 3 2013 Entropy and approximation numbers of limiting embeddings; an approach via Hardy inequalities and quadratic forms. Zbl 1242.47018Triebel, Hans 19 2012 Faber systems and their use in sampling, discrepancy, numerical integration. Zbl 1246.46001Triebel, Hans 8 2012 Entropy numbers of quadratic forms and their applications to spectral theory. Zbl 1255.47005Triebel, Hans 1 2012 Fractals and spectra related to Fourier analysis and function spaces. Reprint of the 1997 original. Zbl 1208.46036Triebel, Hans 36 2011 Limits of Besov norms. Zbl 1222.46028Triebel, Hans 18 2011 Embeddings of function spaces: a criterion in terms of differences. Zbl 1246.46030Haroske, Dorothee D.; Triebel, Hans 11 2011 Entropy numbers in function spaces with mixed integrability. Zbl 1225.46032Triebel, Hans 4 2011 Tractable embeddings of Besov spaces into Zygmund spaces. Zbl 1239.46033Triebel, Hans 2 2011 Eigenvalue distributions of some non-isotropic degenerate elliptic operators. Zbl 1238.47029Triebel, Hans 1 2011 Theory of function spaces. Reprint of the 1983 original. Zbl 1235.46002Triebel, Hans 462 2010 Theory of function spaces II. Reprint of the 1992 edition. Zbl 1235.46003Triebel, Hans 152 2010 Bases in function spaces, sampling, discrepancy, numerical integration. Zbl 1202.46002Triebel, Hans 70 2010 Sobolev–Besov spaces of measurable functions. Zbl 1229.46026Triebel, Hans 10 2010 Numerical integration and discrepancy, a new approach. Zbl 1187.41015Triebel, Hans 8 2010 Function spaces and wavelets on domains. Zbl 1158.46002Triebel, Hans 87 2008 Distributions, Sobolev spaces, elliptic equations. Zbl 1133.46001Haroske, Dorothee D.; Triebel, Hans 49 2008 Function spaces, entropy numbers, differential operators. Paperback reprint of the hardback edition 1996. Zbl 1143.46001Edmunds, David E.; Triebel, Hans 7 2008 Local means and wavelets in function spaces. Zbl 1145.46021Triebel, Hans 6 2008 The dichotomy between traces on \(d\)-sets \(\Gamma \) in \(\mathbb R^n\) and the density of \(D(\mathbb R^n \setminus \Gamma )\) in function spaces. Zbl 1161.46021Triebel, Hans 5 2008 Wavelet bases in Lorentz and Zygmund spaces. Zbl 1156.46028Triebel, Hans 2 2008 Fractal analysis, an approach via function spaces. Zbl 1172.46024Triebel, Hans 1 2008 A homogeneity property for Besov spaces. Zbl 1140.46314Caetano, António M.; Lopes, Sofia; Triebel, Hans 4 2007 Wavelets in function spaces on Lipschitz domains. Zbl 1142.46019Triebel, Hans 2 2007 Wavelet para-bases and sampling numbers in function spaces on domains. Zbl 1148.46023Triebel, Hans 2 2007 Theory of function spaces. III. Zbl 1104.46001Triebel, Hans 275 2006 Function spaces in Lipschitz domains and optimal rates of convergence for sampling. Zbl 1106.41014Novak, Erich; Triebel, Hans 29 2006 Wavelet bases and entropy numbers in weighted function spaces. Zbl 1078.46022Haroske, Dorothee D.; Triebel, Hans 33 2005 Sampling numbers and embedding constants. Zbl 1129.46028Triebel, H. 10 2005 A new approach to function spaces on quasi-metric spaces. Zbl 1091.46021Triebel, Hans 6 2005 A note on wavelet bases in function spaces. Zbl 1064.46024Triebel, Hans 16 2004 Abstract and concrete logarithmic interpolation spaces. Zbl 1066.46016Cobos, Fernando; Fernández-Carrera, Luz M.; Triebel, Hans 9 2004 Approximation numbers in function spaces and the distribution of eigenvalues of some fractal elliptic operators. Zbl 1130.46305Triebel, Hans 7 2004 Lacunary measures and self-similar probability measures in function spaces. Zbl 1069.46019Triebel, Hans 2 2004 The distribution of eigenvalues of some fractal elliptic operators and Weyl measures. Zbl 1129.46308Triebel, Hans 1 2004 The fractal Laplacian and multifractal quantities. Zbl 1070.46027Triebel, Hans 1 2004 Non-smooth atoms and pointwise multipliers in function spaces. Zbl 1223.46037Triebel, Hans 8 2003 Fractal characteristics of measures: An approach via function spaces. Zbl 1034.46034Triebel, Hans 4 2003 Wavelet frames for distributions; local and pointwise regularity. Zbl 1047.46027Triebel, Hans 4 2003 Characterisation of function spaces via mollification; fractal quantities for distributions. Zbl 1069.46018Triebel, Hans 1 2003 Function spaces in Lipschitz domains and on Lipschitz manifolds. Characteristic functions as pointwise multipliers. Zbl 1034.46033Triebel, Hans 80 2002 Spectral theory of Riesz potentials on quasi-metric spaces. Zbl 1001.43006Triebel, Hans; Yang, Dachun 5 2002 Towards a Gausslet analysis: Gaussian representations of functions. Zbl 1046.46030Triebel, Hans 1 2002 Fractal analysis from the viewpoint of function spaces. (Fraktale Analysis aus der Sicht der Funktionenräume.) Zbl 1030.46042Triebel, Hans 1 2002 The structure of functions. Zbl 0984.46021Triebel, Hans 69 2001 Truncations of functions. Zbl 0957.46029Triebel, Hans 2 2000 Taylor expansions of distributions. Zbl 0954.46024Triebel, Hans 1 2000 Sharp Sobolev embeddings and related Hardy inequalities: The critical case. Zbl 0935.46031Edmunds, David E.; Triebel, Hans 31 1999 Eigenfrequencies of isotropic fractal drums. Zbl 0951.46012Edmunds, David; Triebel, Hans 14 1999 Decompositions of function spaces. Zbl 0920.46027Triebel, Hans 6 1999 Sharp Sobolev embeddings and related Hardy inequalities: The sub-critical case. Zbl 0945.46018Triebel, Hans 6 1999 Hardy inequalities in function spaces. Zbl 0940.46016Triebel, Hans 6 1999 The distribution of eigenfrequencies of anisotropic fractal drums. Zbl 0940.46018Farkas, Walter; Triebel, Hans 5 1999 Function spaces and spectra of elliptic operators on a class of hyperbolic manifolds. Zbl 0935.46033Triebel, Hans 1 1999 Spectral theory for isotropic fractal drums. Zbl 0920.47044Edmunds, David; Triebel, Hans 24 1998 Logarithmic spaces and related trace problems. Zbl 0924.46029Edmunds, David; Triebel, Hans 6 1998 Gaussian decompositions in function spaces. Zbl 0922.46031Triebel, Hans 1 1998 Fractals and spectra related to Fourier analysis and function spaces. Zbl 0898.46030Triebel, Hans 88 1997 Function spaces, entropy numbers, differential operators. Zbl 0865.46020Edmunds, David E.; Triebel, Hans 197 1996 Intrinsic atomic characterizations of function spaces on domains. Zbl 0843.46022Triebel, Hans; Winkelvoß, Heike 8 1996 A Fourier analytical characterization of the Hausdorff dimension of a closed set and of related Lebesgue spaces. Zbl 0864.46020Triebel, Hans; Winkelvoss, Heike 5 1996 Interpolation theory, function spaces, differential operators. 2nd rev. a. enl. ed. Zbl 0830.46028Triebel, Hans 333 1995 Hölder inequalities and sharp embeddings in function spaces of \(B_{pq}^ s\) and \(F_{pq}^ s\) type. Zbl 0820.46030Sickel, W.; Triebel, H. 71 1995 Logarithmic Sobolev spaces and their applications to spectral theory. Zbl 0835.46028Edmunds, D. E.; Triebel, H. 8 1995 The dimension of a closed subset of \(\mathbb{R}^ n\) and related function spaces. Zbl 0851.46028Triebel, H.; Winkelvoß, H. 1 1995 Entropy numbers in weighted function spaces and eigenvalue distributions of some degenerate pseudodifferential operators. I. Zbl 0829.46019Haroske, Dorothee; Triebel, Hans 42 1994 Entropy numbers in weighted function spaces and eigenvalue distributions of some degenerate pseudodifferential operators. II. Zbl 0829.46020Haroske, Dorothee; Triebel, Hans 17 1994 Relations between approximation numbers and entropy numbers. Zbl 0811.47020Triebel, Hans 8 1994 Spectral invariance for pseudodifferential operators on weighted function spaces. Zbl 0810.35173Leopold, Hans-Gerd; Triebel, Hans 6 1994 Eigenvalue distributions of some degenerate elliptic operators: An approach via entropy numbers. Zbl 0804.35097Edmunds, D. E.; Triebel, H. 4 1994 A localization property for \(B_{pq}^ s\) and \(F_{pq}^ s\) spaces. Zbl 0819.46025Triebel, Hans 2 1994 Approximation numbers and entropy numbers of embeddings of fractional Besov-Sobolev spaces in Orlicz spaces. Zbl 0792.46024Triebel, Hans 19 1993 Theory of function spaces II. Zbl 0763.46025Triebel, Hans 408 1992 Entropy numbers and approximation numbers in function spaces. II. Zbl 0778.46022Edmunds, D. E.; Triebel, H. 140 1992 Higher analysis. Transl. from the German by Bernhardt Simon. Zbl 0783.46001Triebel, Hans 14 1992 Characterization of the spaces \(F^ s_{pq}\) with the help of local averagings; the extension problem. Zbl 0746.46025Triebel, H. 3 1990 Entropy numbers and approximation numbers in function spaces. Zbl 0629.46034Edmunds, D. E; Triebel, H. 54 1989 Local approximation spaces. Zbl 0695.46015Triebel, H. 10 1989 Atomic decompositions of \(F^ s_{pq}\) spaces. Applications to exotic pseudodifferential and Fourier integral operators. Zbl 0766.46020Triebel, Hans 3 1989 Characterizations of Besov-Hardy-Sobolev spaces: A unified approach. Zbl 0644.46017Triebel, Hans 27 1988 How to measure smoothness of distributions on Riemannian symmetric manifolds and Lie group? Zbl 0685.46020Triebel, H. 4 1988 ...and 87 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,763 Authors 78 Yang, Dachun 76 Triebel, Hans 64 Sickel, Winfried 52 Cobos, Fernando 52 Shakhmurov, Veli B. 45 Yuan, Wen 42 Haroske, Dorothee D. 42 Sawano, Yoshihiro 38 Skrzypczak, Leszek 35 Fan, Jishan 30 Ullrich, Tino 29 Edmunds, David Eric 28 Ruiz-Medina, María Dolores 27 Mitrea, Marius 27 Natroshvili, David 24 Favini, Angelo 24 Kühn, Thomas 24 Schmeisser, Hans-Jürgen 23 Ozawa, Tohru 23 Wendland, Wolfgang L. 22 Dahlke, Stephan 22 Gala, Sadek 20 Chen, Jiecheng 20 Farwig, Reinhard 20 Vybíral, Jan 20 Wang, Baoxiang 19 Brzeźniak, Zdzisław 19 Fernández-Cabrera, Luz M. 19 Petrushev, Pencho P. 19 Pyatkov, Sergeĭ Grigor’evich 19 Schneider, Cornelia 19 Tomita, Naohito 18 Angulo, José Miguel 18 Cholewa, Jan W. 18 Escher, Joachim 18 Miao, Changxing 18 Nielsen, Morten 18 Seeger, Andreas 18 Veraar, Mark C. 17 Abels, Helmut 17 Amann, Herbert 17 Caetano, António M. 17 Duduchava, Roland 17 Lasiecka, Irena 17 Moussai, Madani 17 Ragusa, Maria Alessandra 17 Zhang, Xicheng 16 Bourdaud, Gérard 16 Carl, Bernd 16 Guidetti, Davide 16 Leopold, Hans-Gerd 16 Domingues de Moura, Susana 16 Rehberg, Joachim 16 Wu, Jiahong 15 Feichtinger, Hans Georg 15 Hinrichs, Aicke 15 Kohr, Mirela 15 Rodríguez-Bernal, Aníbal 15 Sohr, Hermann 15 Zhang, Zhifei 15 Zhou, Yong 14 Anh, Vo V. 14 Drihem, Douadi 14 Fan, Dashan 14 Georgiadis, Athanasios G. 14 Hieber, Matthias 14 Mironescu, Petru 14 Ogawa, Takayoshi 14 Prüß, Jan Wilhelm 13 Dominguez, Oscar 13 Martínez Martínez, Antón 13 Oswald, Peter 13 Sugimoto, Mitsuru 13 Vasil’eva, Anastasiya Andreevna 12 Almeida, Alexandre 12 Chae, Dongho 12 Chen, Zhimin 12 Cordero, Elena 12 Ding, Yong 12 Gui, Guilong 12 Ho, Kwok-Pun 12 Liu, Feng 12 Schwab, Christoph 12 Zelik, Sergey V. 12 Zhao, Guoping 12 Zhou, Yuan 11 Ben Slimane, Mourad 11 Bownik, Marcin 11 Chen, Qionglei 11 Dlotko, Tomasz W. 11 Dong, Boqing 11 Guo, Weichao 11 Jeong, Jin-Mun 11 Johnsen, Jon 11 Kim, KyeongHun 11 Lang, Jan 11 Lunardi, Alessandra 11 Nakamura, Gen 11 Nazarov, Alexander I. 11 Nguyen Thieu Huy ...and 3,663 more Authors all top 5 Cited in 442 Serials 243 Journal of Mathematical Analysis and Applications 196 Journal of Functional Analysis 175 Journal of Differential Equations 170 Mathematische Nachrichten 119 Journal of Approximation Theory 106 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 92 The Journal of Fourier Analysis and Applications 63 Mathematische Annalen 60 Mathematische Zeitschrift 57 Mathematical Methods in the Applied Sciences 56 Communications in Partial Differential Equations 53 Archive for Rational Mechanics and Analysis 53 Zeitschrift für Analysis und ihre Anwendungen 51 Journal of Complexity 50 Transactions of the American Mathematical Society 48 Annali di Matematica Pura ed Applicata. Serie Quarta 46 Potential Analysis 45 Acta Mathematica Sinica. English Series 43 Mathematical Notes 43 Journal of Evolution Equations 41 Communications in Mathematical Physics 41 Advances in Mathematics 41 Proceedings of the American Mathematical Society 41 Applied and Computational Harmonic Analysis 39 Integral Equations and Operator Theory 39 Numerische Mathematik 38 The Journal of Geometric Analysis 38 Revista Matemática Complutense 34 Journal of Mathematical Fluid Mechanics 33 Applicable Analysis 32 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 32 Constructive Approximation 31 Journal de Mathématiques Pures et Appliquées. Neuvième Série 30 Siberian Mathematical Journal 29 Science China. Mathematics 28 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 26 The Annals of Statistics 26 Czechoslovak Mathematical Journal 26 Abstract and Applied Analysis 25 Analysis Mathematica 25 Mathematics of Computation 25 Archiv der Mathematik 25 Journal of Inequalities and Applications 24 Journal d’Analyse Mathématique 24 ZAMP. Zeitschrift für angewandte Mathematik und Physik 24 Calculus of Variations and Partial Differential Equations 24 Communications on Pure and Applied Analysis 24 Journal of Function Spaces and Applications 23 Nonlinear Analysis. Theory, Methods & Applications 22 Ukrainian Mathematical Journal 22 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 22 Stochastic Processes and their Applications 22 Journal of Mathematical Sciences (New York) 20 Stochastic Analysis and Applications 20 Discrete and Continuous Dynamical Systems 20 Boundary Value Problems 19 Journal of Mathematical Physics 19 Arkiv för Matematik 19 Nonlinear Analysis. Real World Applications 19 Mediterranean Journal of Mathematics 18 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 18 Analysis and Applications (Singapore) 18 Journal of Function Spaces 17 Applied Mathematics and Optimization 17 Monatshefte für Mathematik 17 SIAM Journal on Mathematical Analysis 17 NoDEA. Nonlinear Differential Equations and Applications 17 Proceedings of the Steklov Institute of Mathematics 16 Computers & Mathematics with Applications 16 Applied Mathematics Letters 15 Journal of Integral Equations and Applications 15 Georgian Mathematical Journal 15 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 15 Comptes Rendus. Mathématique. Académie des Sciences, Paris 14 Applied Mathematics and Computation 14 Functional Analysis and its Applications 14 Numerical Functional Analysis and Optimization 14 Revista Matemática Iberoamericana 14 Journal of Dynamics and Differential Equations 14 Discrete and Continuous Dynamical Systems. Series B 14 Complex Variables and Elliptic Equations 13 Annales de l’Institut Fourier 13 The Annals of Probability 13 Journal of Computational and Applied Mathematics 13 Journal of Multivariate Analysis 13 Results in Mathematics 13 Probability Theory and Related Fields 13 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 13 Russian Journal of Mathematical Physics 13 Annales Academiae Scientiarum Fennicae. Mathematica 13 Banach Journal of Mathematical Analysis 13 Journal of Pseudo-Differential Operators and Applications 12 Applied Numerical Mathematics 12 Communications in Contemporary Mathematics 12 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 11 Duke Mathematical Journal 11 Semigroup Forum 11 Acta Applicandae Mathematicae 11 Bulletin des Sciences Mathématiques 11 Positivity ...and 342 more Serials all top 5 Cited in 57 Fields 2,123 Partial differential equations (35-XX) 1,521 Functional analysis (46-XX) 1,008 Harmonic analysis on Euclidean spaces (42-XX) 862 Operator theory (47-XX) 512 Fluid mechanics (76-XX) 348 Numerical analysis (65-XX) 344 Probability theory and stochastic processes (60-XX) 303 Approximations and expansions (41-XX) 175 Ordinary differential equations (34-XX) 159 Statistics (62-XX) 156 Global analysis, analysis on manifolds (58-XX) 154 Real functions (26-XX) 123 Mechanics of deformable solids (74-XX) 107 Integral equations (45-XX) 103 Functions of a complex variable (30-XX) 100 Calculus of variations and optimal control; optimization (49-XX) 91 Abstract harmonic analysis (43-XX) 89 Dynamical systems and ergodic theory (37-XX) 87 Potential theory (31-XX) 85 Measure and integration (28-XX) 83 Biology and other natural sciences (92-XX) 71 Quantum theory (81-XX) 61 Systems theory; control (93-XX) 56 Statistical mechanics, structure of matter (82-XX) 53 Differential geometry (53-XX) 51 Computer science (68-XX) 50 Several complex variables and analytic spaces (32-XX) 47 Optics, electromagnetic theory (78-XX) 40 Information and communication theory, circuits (94-XX) 37 Topological groups, Lie groups (22-XX) 35 Geophysics (86-XX) 32 Integral transforms, operational calculus (44-XX) 32 Classical thermodynamics, heat transfer (80-XX) 19 Number theory (11-XX) 11 Convex and discrete geometry (52-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 Manifolds and cell complexes (57-XX) 9 Relativity and gravitational theory (83-XX) 8 Special functions (33-XX) 8 Difference and functional equations (39-XX) 8 General topology (54-XX) 8 Mechanics of particles and systems (70-XX) 8 Operations research, mathematical programming (90-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Sequences, series, summability (40-XX) 4 Combinatorics (05-XX) 4 Algebraic geometry (14-XX) 4 Astronomy and astrophysics (85-XX) 2 History and biography (01-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 1 Commutative algebra (13-XX) 1 \(K\)-theory (19-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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