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## Stoll, Manfred

Compute Distance To:
 Author ID: stoll.manfred Published as: Stoll, M.; Stoll, Manfred Homepage: http://www.math.sc.edu/manfred-stoll External Links: MGP · ResearchGate
 Documents Indexed: 50 Publications since 1974, including 4 Books Reviewing Activity: 184 Reviews
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#### Co-Authors

 41 single-authored 3 Roberts, James W. 2 Hahn, Kyong Taik 1 Bennett, Colin 1 Liu, Shun-Hui 1 Nestlerode, W. C. 1 Ryan, Pamela J. 1 Youssfi, El Hassan
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#### Serials

 7 Archiv der Mathematik 6 Journal of Mathematical Analysis and Applications 4 Annales Polonici Mathematici 4 Complex Variables. Theory and Application 3 Journal für die Reine und Angewandte Mathematik 3 Mathematica Scandinavica 3 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Potential Analysis 2 Complex Variables and Elliptic Equations 2 London Mathematical Society Lecture Note Series 1 Studia Mathematica 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Monatshefte für Mathematik 1 Textbooks in Mathematics
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#### Fields

 33 Potential theory (31-XX) 26 Several complex variables and analytic spaces (32-XX) 14 Functions of a complex variable (30-XX) 8 Functional analysis (46-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 3 Special functions (33-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX)

#### Citations contained in zbMATH

40 Publications have been cited 179 times in 122 Documents Cited by Year
Invariant potential theory in the unit of ball of $$\mathbb{C}^ n$$. Zbl 0797.31001
Stoll, Manfred
1994
Mean value theorems for harmonic and holomorphic functions on bounded symmetric domains. Zbl 0342.32003
Stoll, M.
1977
A characterization of Hardy spaces on the unit ball of $$\mathbb{C}^ n$$. Zbl 0808.32006
Stoll, Manfred
1993
Mean growth and Taylor coefficients of some topological algebras of analytic functions. Zbl 0377.30036
Stoll, M.
1977
Harmonic and subharmonic function theory on the hyperbolic ball. Zbl 1372.31001
Stoll, Manfred
2016
Boundary limits of subharmonic functions in the disc. Zbl 0561.31003
Stoll, M.
1985
Rate of growth of pth means of invariant potentials in the unit ball of $${\mathbb{C}}^ n$$. Zbl 0697.31008
Stoll, M.
1989
Boundary limits of Green potentials in the unit disc. Zbl 0553.31003
Stoll, Manfred
1985
On the rate of growth of the means $$M^ p$$ of holomorphic and pluriharmonic functions on the ball. Zbl 0526.32002
Stoll, Manfred
1983
Prime and principal ideals in the algebra $$N^+$$. Zbl 0329.46025
Roberts, James W.; Stoll, Manfred
1976
Properties of the space $$\widetilde h^p$$ ($$0<p\leq 1$$) of harmonic functions on the unit disc. Zbl 0299.31003
Stoll, M.
1974
Weighted tangential boundary limits of subharmonic functions on domains in $$\mathbb{R}^n$$ $$(n\geq 2)$$. Zbl 0935.31002
Stoll, Manfred
1998
Radial limits of n-subharmonic functions in the polydisc. Zbl 0552.31004
Nestlerode, W. C.; Stoll, M.
1983
Hardy-type spaces of harmonic functions on symmetric spaces of noncompact type. Zbl 0298.43017
Stoll, Manfred
1974
Weighted Dirichlet spaces of harmonic functions on the real hyperbolic ball. Zbl 1246.31004
Stoll, Manfred
2012
Harmonic majorants for eigenfunctions of the Laplacian with finite Dirichlet integrals. Zbl 1019.31002
Stoll, Manfred
2002
A characterization of Hardy-Orlicz spaces on planar domains. Zbl 0777.30021
Stoll, Manfred
1993
Rate of growth of $$p$$th means of invariant potentials in the unit ball of $$\mathbb{C}{}^ n$$. II. Zbl 0757.31005
Stoll, M.
1992
Hardy-Sobolev spaces and algebras of holomorphic functions on the unit ball in $$\mathbb C^n$$. Zbl 1153.32008
Ryan, Pamela J.; Stoll, Manfred
2008
Boundary limits and non-integrability of $$\mathcal{M}$$-subharmonic functions in the unit ball of $$\mathbb{C}^ n$$ ($$n\geq 1$$). Zbl 0880.31003
Stoll, Manfred
1997
Projections on spaces of holomorphic functions on certain domains in $$\mathbb C^2$$. Zbl 0757.32001
Liu, S. H.; Stoll, M.
1992
The space $$N\ast$$ of holomorphic functions on bounded symmetric domains. Zbl 0317.32019
Stoll, Manfred
1976
Holomorphic and $${\mathcal M}$$-harmonic functions with finite Dirichlet integral on the unit ball of $$\mathbb{C}^n$$. Zbl 0987.31007
Stoll, Manfred
2001
Tangential boundary limits of invariant potentials in the unit ball of $$\mathbb{C}^ n$$. Zbl 0789.31007
Stoll, Manfred
1993
Derivatives of analytic functions and bounded mean oscillation. Zbl 0588.30035
Bennett, Colin; Stoll, Manfred
1986
Harmonic majorants for plurisubharmonic functions on bounded symmetric domains with applications to the spaces $$H_\Phi$$ and $$N_*$$. Zbl 0318.32014
Stoll, Manfred
1976
The reproducing kernel of $$\mathcal H^2$$ and radial eigenfunctions of the hyperbolic Laplacian. Zbl 1412.31003
Stoll, Manfred
2019
Littlewood-Paley theory for subharmonic functions on the unit ball in $$\mathbb R^N$$. Zbl 1300.31007
Stoll, Manfred
2014
On the Littlewood-Paley inequalities for subharmonic functions on domains in $$\mathbb R^n$$. Zbl 1276.31003
Stoll, Manfred
2013
The Littlewood-Paley inequalities for Hardy-Orlicz spaces of harmonic functions on domains in $$\mathbb R^n$$. Zbl 1127.31002
Stoll, Manfred
2006
On the integrability of eigenfunctions of the Laplace–Beltrami operator in the unit ball of $${\mathbb C}^n$$. Zbl 0997.31007
Stoll, Manfred
2002
Invariant potentials and tangential boundary behavior of $${\mathcal M}$$-subharmonic functions in the unit ball. Zbl 0848.31006
Hahn, K. T.; Stoll, M.; Youssfi, E. H.
1995
Non-isotropic Hausdorff capacity of exceptional sets of invariant potentials. Zbl 0822.31003
Stoll, Manfred
1995
Uniform limits of Green potentials in the unit disc. Zbl 0727.31001
Stoll, M.
1991
Mean growth and Fourier coefficients of some classes of holomorphic functions on bounded symmetric domains. Zbl 0579.32022
Stoll, Manfred
1985
Radial limits of the Poisson kernel on the classical Cartan domains. Zbl 0476.32038
Stoll, Manfred
1980
Invertible and weakly invertible singular inner functions in the Bergman spaces. Zbl 0403.30040
Stoll, Manfred
1978
Composition operators on $$F^+$$. Zbl 0347.30037
Roberts, James W.; Stoll, Manfred
1976
A characterization of $$F^+\cap N$$. Zbl 0333.30020
Stoll, M.
1976
Integral formulae for pluriharmonic functions on bounded symmetric domains. Zbl 0287.32020
Stoll, M.
1974
The reproducing kernel of $$\mathcal H^2$$ and radial eigenfunctions of the hyperbolic Laplacian. Zbl 1412.31003
Stoll, Manfred
2019
Harmonic and subharmonic function theory on the hyperbolic ball. Zbl 1372.31001
Stoll, Manfred
2016
Littlewood-Paley theory for subharmonic functions on the unit ball in $$\mathbb R^N$$. Zbl 1300.31007
Stoll, Manfred
2014
On the Littlewood-Paley inequalities for subharmonic functions on domains in $$\mathbb R^n$$. Zbl 1276.31003
Stoll, Manfred
2013
Weighted Dirichlet spaces of harmonic functions on the real hyperbolic ball. Zbl 1246.31004
Stoll, Manfred
2012
Hardy-Sobolev spaces and algebras of holomorphic functions on the unit ball in $$\mathbb C^n$$. Zbl 1153.32008
Ryan, Pamela J.; Stoll, Manfred
2008
The Littlewood-Paley inequalities for Hardy-Orlicz spaces of harmonic functions on domains in $$\mathbb R^n$$. Zbl 1127.31002
Stoll, Manfred
2006
Harmonic majorants for eigenfunctions of the Laplacian with finite Dirichlet integrals. Zbl 1019.31002
Stoll, Manfred
2002
On the integrability of eigenfunctions of the Laplace–Beltrami operator in the unit ball of $${\mathbb C}^n$$. Zbl 0997.31007
Stoll, Manfred
2002
Holomorphic and $${\mathcal M}$$-harmonic functions with finite Dirichlet integral on the unit ball of $$\mathbb{C}^n$$. Zbl 0987.31007
Stoll, Manfred
2001
Weighted tangential boundary limits of subharmonic functions on domains in $$\mathbb{R}^n$$ $$(n\geq 2)$$. Zbl 0935.31002
Stoll, Manfred
1998
Boundary limits and non-integrability of $$\mathcal{M}$$-subharmonic functions in the unit ball of $$\mathbb{C}^ n$$ ($$n\geq 1$$). Zbl 0880.31003
Stoll, Manfred
1997
Invariant potentials and tangential boundary behavior of $${\mathcal M}$$-subharmonic functions in the unit ball. Zbl 0848.31006
Hahn, K. T.; Stoll, M.; Youssfi, E. H.
1995
Non-isotropic Hausdorff capacity of exceptional sets of invariant potentials. Zbl 0822.31003
Stoll, Manfred
1995
Invariant potential theory in the unit of ball of $$\mathbb{C}^ n$$. Zbl 0797.31001
Stoll, Manfred
1994
A characterization of Hardy spaces on the unit ball of $$\mathbb{C}^ n$$. Zbl 0808.32006
Stoll, Manfred
1993
A characterization of Hardy-Orlicz spaces on planar domains. Zbl 0777.30021
Stoll, Manfred
1993
Tangential boundary limits of invariant potentials in the unit ball of $$\mathbb{C}^ n$$. Zbl 0789.31007
Stoll, Manfred
1993
Rate of growth of $$p$$th means of invariant potentials in the unit ball of $$\mathbb{C}{}^ n$$. II. Zbl 0757.31005
Stoll, M.
1992
Projections on spaces of holomorphic functions on certain domains in $$\mathbb C^2$$. Zbl 0757.32001
Liu, S. H.; Stoll, M.
1992
Uniform limits of Green potentials in the unit disc. Zbl 0727.31001
Stoll, M.
1991
Rate of growth of pth means of invariant potentials in the unit ball of $${\mathbb{C}}^ n$$. Zbl 0697.31008
Stoll, M.
1989
Derivatives of analytic functions and bounded mean oscillation. Zbl 0588.30035
Bennett, Colin; Stoll, Manfred
1986
Boundary limits of subharmonic functions in the disc. Zbl 0561.31003
Stoll, M.
1985
Boundary limits of Green potentials in the unit disc. Zbl 0553.31003
Stoll, Manfred
1985
Mean growth and Fourier coefficients of some classes of holomorphic functions on bounded symmetric domains. Zbl 0579.32022
Stoll, Manfred
1985
On the rate of growth of the means $$M^ p$$ of holomorphic and pluriharmonic functions on the ball. Zbl 0526.32002
Stoll, Manfred
1983
Radial limits of n-subharmonic functions in the polydisc. Zbl 0552.31004
Nestlerode, W. C.; Stoll, M.
1983
Radial limits of the Poisson kernel on the classical Cartan domains. Zbl 0476.32038
Stoll, Manfred
1980
Invertible and weakly invertible singular inner functions in the Bergman spaces. Zbl 0403.30040
Stoll, Manfred
1978
Mean value theorems for harmonic and holomorphic functions on bounded symmetric domains. Zbl 0342.32003
Stoll, M.
1977
Mean growth and Taylor coefficients of some topological algebras of analytic functions. Zbl 0377.30036
Stoll, M.
1977
Prime and principal ideals in the algebra $$N^+$$. Zbl 0329.46025
Roberts, James W.; Stoll, Manfred
1976
The space $$N\ast$$ of holomorphic functions on bounded symmetric domains. Zbl 0317.32019
Stoll, Manfred
1976
Harmonic majorants for plurisubharmonic functions on bounded symmetric domains with applications to the spaces $$H_\Phi$$ and $$N_*$$. Zbl 0318.32014
Stoll, Manfred
1976
Composition operators on $$F^+$$. Zbl 0347.30037
Roberts, James W.; Stoll, Manfred
1976
A characterization of $$F^+\cap N$$. Zbl 0333.30020
Stoll, M.
1976
Properties of the space $$\widetilde h^p$$ ($$0<p\leq 1$$) of harmonic functions on the unit disc. Zbl 0299.31003
Stoll, M.
1974
Hardy-type spaces of harmonic functions on symmetric spaces of noncompact type. Zbl 0298.43017
Stoll, Manfred
1974
Integral formulae for pluriharmonic functions on bounded symmetric domains. Zbl 0287.32020
Stoll, M.
1974
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#### Cited by 126 Authors

 12 Stoll, Manfred 6 Mizuta, Yoshihiro 5 Choe, Boo Rim 5 Riihentaus, Juhani 5 Shimomura, Tetsu 5 Ueki, Sei-ichiro 4 Chen, Jiaolong 4 Koo, Hyungwoon 4 Ohno, Takao 4 Pavlović, Miroslav 3 Chyzhykov, Igor Elbertovych 3 Iida, Yasuo 3 Kwon, Ern Gun 3 Massaneda, Xavier 3 Shi, Jihuai 3 Zhu, Kehe 2 Avetisyan, Karen L. 2 Boussejra, Abdelhamid 2 Doubtsov, Evgueni Sergeevich 2 Girela, Daniel 2 Kim, Hong Oh 2 Klingen, Helmut 2 Lee, Young Joo 2 Li, Songxiao 2 McCarthy, John Edward 2 Meštrović, Romeo 2 Rasila, Antti 2 Stević, Stevo 2 Thomas, Pascal J. 2 Voitovych, M. A. 2 Wojcicka, Ewa 1 Agranovsky, Mark L. 1 Beatrous, Frank Hayne jun. 1 Bhat, Ambika 1 Böe, Bjarte 1 Boiko, Tetiana 1 Bossavit, Alain 1 Burbea, Jacob 1 Chen, Shaolin 1 Cho, Hong Rae 1 Cho, Sungwon 1 Choa, Jun Soo 1 Cichoń, Kinga 1 Devi, Manisha 1 Dilworth, Stephen J. 1 Dovgoshey, Oleksiy Alfredovich 1 Engl, Heinz W. 1 Engliš, Miroslav 1 Gamel, Matthew R. 1 Gardiner, Stephen J. 1 González, Cristóbal 1 Hahn, Kyong Taik 1 Hatori, Osamu 1 Hirata, Kentaro 1 Hu, Bingyang 1 Huang, Manzi 1 Izuchi, Kou Hei 1 Jerbashian, Armen Mkhitar 1 Jevtić, Miroljub 1 Joyner, Michele L. 1 Kalaj, David 1 Kalton, Nigel John 1 Kaptanoglu, H. Turgay 1 Karapetyan, Arman H. 1 Kot, Piotr 1 Koufany, Khalid 1 Kumar, Pratyoosh 1 Kutzarova, Denka N. 1 Lassalle, Michel 1 Liang, Yuxia 1 Lindner, Ewald Hans 1 Liu, Gang 1 Luecking, Daniel H. 1 Ma, Weiming 1 MacCluer, Barbara D. 1 Maheux, Patrick 1 Martin, Reiner 1 Martínez, Ma. Carmen 1 Masri, Mahmud 1 Matsugu, Yasuo 1 Meng, Jin 1 Mitchell, Josephine 1 Miyazawa, Jun 1 Mosk, Benjamin 1 Muñoz, Víctor 1 Nawrocki, Marek 1 Nicolau, Artur 1 Ourchane, Nadia 1 Pan, QiJun 1 Park, Jong-Hee 1 Pau, Jordi 1 Pavićević, Žarko 1 Pierfelice, Vittoria 1 Pridhnani, Bharti 1 Putinar, Mihai 1 Ray, Swagato K. 1 Ren, Guangbin 1 Ricci, Fulvio 1 Roberts, James W. 1 Rubin, Boris ...and 26 more Authors
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#### Cited in 62 Serials

 19 Journal of Mathematical Analysis and Applications 9 Proceedings of the American Mathematical Society 5 Archiv der Mathematik 5 Transactions of the American Mathematical Society 5 Potential Analysis 5 Complex Variables and Elliptic Equations 3 Journal of Functional Analysis 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Indagationes Mathematicae. New Series 3 Annales Academiae Scientiarum Fennicae. Mathematica 2 Israel Journal of Mathematics 2 Mathematical Notes 2 Rocky Mountain Journal of Mathematics 2 Glasgow Mathematical Journal 2 Mathematische Annalen 2 Monatshefte für Mathematik 2 Science in China. Series A 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 Expositiones Mathematicae 2 Abstract and Applied Analysis 1 Classical and Quantum Gravity 1 Computer Methods in Applied Mechanics and Engineering 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Arkiv för Matematik 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Computation 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of Soviet Mathematics 1 Mathematica Slovaca 1 Proceedings of the Japan Academy. Series A 1 Results in Mathematics 1 Bulletin of the Korean Mathematical Society 1 Mathematical and Computer Modelling 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Calculus of Variations and Partial Differential Equations 1 St. Petersburg Mathematical Journal 1 Journal of Lie Theory 1 Science in China. Series E 1 Positivity 1 Matematychni Studiï 1 Journal of Interdisciplinary Mathematics 1 Acta Mathematica Sinica. English Series 1 Lobachevskii Journal of Mathematics 1 Journal of the Australian Mathematical Society 1 Portugaliae Mathematica. Nova Série 1 Computational Methods and Function Theory 1 Central European Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Complex Analysis and Operator Theory 1 Banach Journal of Mathematical Analysis 1 East Asian Mathematical Journal 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Analysis and Mathematical Physics 1 International Journal of Analysis 1 Concrete Operators 1 Journal of Function Spaces
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#### Cited in 27 Fields

 48 Several complex variables and analytic spaces (32-XX) 45 Potential theory (31-XX) 33 Functions of a complex variable (30-XX) 24 Functional analysis (46-XX) 15 Operator theory (47-XX) 12 Partial differential equations (35-XX) 5 Optics, electromagnetic theory (78-XX) 3 Number theory (11-XX) 3 Abstract harmonic analysis (43-XX) 3 Numerical analysis (65-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 2 Differential geometry (53-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)