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Bastero, Jesús

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Author ID: bastero.jesus Recent zbMATH articles by "Bastero, Jesús"
Published as: Bastero, J.; Bastero, Jesús
Documents Indexed: 57 Publications since 1979, including 3 Books

Publications by Year

Citations contained in zbMATH

37 Publications have been cited 186 times in 166 Documents Cited by Year
A note on \(L(\infty, q)\) spaces and Sobolev embeddings. Zbl 1098.46023
Bastero, Jesús; Milman, Mario; Ruiz Blasco, Francisco
31
2003
Positions of convex bodies associated to extremal problems and isotropic measures. Zbl 1053.52011
Bastero, J.; Romance, M.
18
2004
Commutators for the maximal and sharp functions. Zbl 0957.42010
Bastero, Jesús; Milman, Mario; Ruiz, Francisco J.
18
2000
John’s decomposition of the identity in the non-convex case. Zbl 1018.52004
Bastero, Jesús; Romance, Miguel
15
2002
On the connections between weighted norm inequalities, commutators and real interpolation. Zbl 0992.46021
Bastero, Jesús; Milman, Mario; Ruiz, Francisco J.
12
2001
Approaching the Kannan-Lovász-Simonovits and variance conjectures. Zbl 1318.52001
Alonso-Gutiérrez, David; Bastero, Jesús
8
2015
On the isotropy constant of projections of polytopes. Zbl 1193.52005
Alonso-Gutiérrez, David; Bastero, Jesús; Bernués, Julio; Wolff, Paweł
7
2010
Inequalities for the Gamma function and estimates for the volume of sections of \(B^n_p\). Zbl 0988.52009
Bastero, Jesús; Galve, Fernando; Peña, Ana; Romance, Miguel
7
2002
Rearrangement of Hardy-Littlewood maximal functions in Lorentz spaces. Zbl 0942.42011
Bastero, Jesús; Milman, Mario; Ruiz, Francisco J.
7
2000
An extension of Milman’s reverse Brunn-Minkowski inequality. Zbl 0836.52001
Bastero, J.; Bernués, J.; Peña, A.
6
1995
Asymptotic behaviour of averages of \(k\)-dimensional marginals of measures on \(\mathbb R^n\). Zbl 1157.60011
Bastero, Jesús; Bernués, Julio
5
2009
On smallest and largest spaces among rearrangement-invariant \(p\)-Banach function spaces (\(0<p<1\)). Zbl 0754.46021
Bastero, J.; Hudzik, H.; Steinberg, A. M.
5
1991
From John to Gauss–John positions via dual mixed volumes. Zbl 1112.52005
Bastero, Jesús; Bernués, Julio; Romance, Miguel
4
2007
Reverse Hölder inequalities and interpolation. Zbl 0981.46027
Bastero, J.; Milman, M.; Ruiz, F. J.
4
1999
Elementary reverse Hölder type inequalities with application to operator interpolation theory. Zbl 0865.46015
Bastero, Jesús; Ruiz, Francisco J.
4
1996
The variance conjecture on hyperplane projections of the \(\ell_p^n\) balls. Zbl 1404.46013
Alonso-Gutiérrez, David; Bastero, Jesús
3
2018
On sharp reiteration theorems and weighted norm inequalities. Zbl 1001.46011
Bastero, Jesús; Milman, Mario; Ruiz, Francisco J.
3
2000
\(\ell^q\)-subspaces of stable \(p\)-Banach spaces, \(0<p\leq 1\). Zbl 0503.46015
Bastero, J.
3
1983
The variance conjecture on some polytopes. Zbl 1281.46013
Alonso-Gutiérrez, David; Bastero, Jesús
2
2013
Factoring Sobolev inequalities through classes of functions. Zbl 1279.46023
Alonso-Gutiérrez, David; Bastero, Jesús; Bernués, Julio
2
2012
Upper bounds for the volume and diameter of \(m\)-dimensional sections of convex bodies. Zbl 1132.52004
Bastero, Jesús
2
2007
A characterization of the \(MM^*\)-position of a convex body in terms of covariance matrices. Zbl 1059.52013
Bastero, Jesús; Romance, Miguel
2
2004
The theorems of Caratheodory and Gluskin for \(0<p<1\). Zbl 0818.46005
Bastero, Jesús; Bernués, Julio; Peña, Ana
2
1995
Interpolation of operators when the extreme spaces are \(L^ \infty\). Zbl 0814.46063
Bastero, Jesús; Ruiz, Francisco J.
2
1993
An explicit expression for the \(K_ r\) functionals of interpolation between \(L^ p\) spaces. Zbl 0845.46041
Bastero, Jesús; Raynaud, Yves; Rezola, M. Luisa
2
1991
High dimensional random sections of isotropic convex bodies. Zbl 1221.52007
Alonso-Gutiérrez, David; Bastero, Jesús; Bernués, Julio; Paouris, Grigoris
1
2010
Jean Bourgain, Fields Medal. Zbl 1358.01081
Bastero, Jesús; Vega, Luis
1
1999
Calderón weights and the real interpolation method. Zbl 0874.46016
Bastero, J.; Milman, M.; Ruiz, F. J.
1
1996
Embedding \(\ell^ n_ p\) into \(r\)-Banach spaces, \(0<r\leq p<2\). Zbl 0824.46026
Bastero, Jesús; Bernués, Julio
1
1993
Applications of deviation inequalities on finite metric sets. Zbl 0845.46009
Bastero, Jesús; Bernués, Julio
1
1991
Representing types in Orlicz and Lorentz sequence spaces. Zbl 0716.46022
Bastero, Jesús; Raynaud, Yves
1
1990
On the \(K\)-functional of interpolation between \(L^ p\) and Orlicz spaces. Zbl 0714.46019
Bastero, Jesús; Raynaud, Yves
1
1990
Embedding \(\ell_{\infty}^ n\)-cubes in finite-dimensional 1- subsymmetric spaces. Zbl 0717.46017
Bastero, Jesús; Bernués, Julio; Kalton, Nigel
1
1989
Quotients and interpolation spaces of stable Banach spaces. Zbl 0714.46053
Bastero, J.; Raynaud, Y.
1
1989
Embedding unconditional stable Banach spaces into symmetric stable Banach spaces. Zbl 0609.46010
Bastero, Jesús
1
1986
Stabilité des espaces de Banach de suites vectorielles. (Stability of Banach spaces of vector-valued sequences). Zbl 0559.46011
Bastero, Jesús; Mira, José-Manuel
1
1984
A restricted form of the therem of Maurey-Pisier for the cotype in p- Banach spaces. Zbl 0486.46016
Bastero, J.
1
1982
The variance conjecture on hyperplane projections of the \(\ell_p^n\) balls. Zbl 1404.46013
Alonso-Gutiérrez, David; Bastero, Jesús
3
2018
Approaching the Kannan-Lovász-Simonovits and variance conjectures. Zbl 1318.52001
Alonso-Gutiérrez, David; Bastero, Jesús
8
2015
The variance conjecture on some polytopes. Zbl 1281.46013
Alonso-Gutiérrez, David; Bastero, Jesús
2
2013
Factoring Sobolev inequalities through classes of functions. Zbl 1279.46023
Alonso-Gutiérrez, David; Bastero, Jesús; Bernués, Julio
2
2012
On the isotropy constant of projections of polytopes. Zbl 1193.52005
Alonso-Gutiérrez, David; Bastero, Jesús; Bernués, Julio; Wolff, Paweł
7
2010
High dimensional random sections of isotropic convex bodies. Zbl 1221.52007
Alonso-Gutiérrez, David; Bastero, Jesús; Bernués, Julio; Paouris, Grigoris
1
2010
Asymptotic behaviour of averages of \(k\)-dimensional marginals of measures on \(\mathbb R^n\). Zbl 1157.60011
Bastero, Jesús; Bernués, Julio
5
2009
From John to Gauss–John positions via dual mixed volumes. Zbl 1112.52005
Bastero, Jesús; Bernués, Julio; Romance, Miguel
4
2007
Upper bounds for the volume and diameter of \(m\)-dimensional sections of convex bodies. Zbl 1132.52004
Bastero, Jesús
2
2007
Positions of convex bodies associated to extremal problems and isotropic measures. Zbl 1053.52011
Bastero, J.; Romance, M.
18
2004
A characterization of the \(MM^*\)-position of a convex body in terms of covariance matrices. Zbl 1059.52013
Bastero, Jesús; Romance, Miguel
2
2004
A note on \(L(\infty, q)\) spaces and Sobolev embeddings. Zbl 1098.46023
Bastero, Jesús; Milman, Mario; Ruiz Blasco, Francisco
31
2003
John’s decomposition of the identity in the non-convex case. Zbl 1018.52004
Bastero, Jesús; Romance, Miguel
15
2002
Inequalities for the Gamma function and estimates for the volume of sections of \(B^n_p\). Zbl 0988.52009
Bastero, Jesús; Galve, Fernando; Peña, Ana; Romance, Miguel
7
2002
On the connections between weighted norm inequalities, commutators and real interpolation. Zbl 0992.46021
Bastero, Jesús; Milman, Mario; Ruiz, Francisco J.
12
2001
Commutators for the maximal and sharp functions. Zbl 0957.42010
Bastero, Jesús; Milman, Mario; Ruiz, Francisco J.
18
2000
Rearrangement of Hardy-Littlewood maximal functions in Lorentz spaces. Zbl 0942.42011
Bastero, Jesús; Milman, Mario; Ruiz, Francisco J.
7
2000
On sharp reiteration theorems and weighted norm inequalities. Zbl 1001.46011
Bastero, Jesús; Milman, Mario; Ruiz, Francisco J.
3
2000
Reverse Hölder inequalities and interpolation. Zbl 0981.46027
Bastero, J.; Milman, M.; Ruiz, F. J.
4
1999
Jean Bourgain, Fields Medal. Zbl 1358.01081
Bastero, Jesús; Vega, Luis
1
1999
Elementary reverse Hölder type inequalities with application to operator interpolation theory. Zbl 0865.46015
Bastero, Jesús; Ruiz, Francisco J.
4
1996
Calderón weights and the real interpolation method. Zbl 0874.46016
Bastero, J.; Milman, M.; Ruiz, F. J.
1
1996
An extension of Milman’s reverse Brunn-Minkowski inequality. Zbl 0836.52001
Bastero, J.; Bernués, J.; Peña, A.
6
1995
The theorems of Caratheodory and Gluskin for \(0<p<1\). Zbl 0818.46005
Bastero, Jesús; Bernués, Julio; Peña, Ana
2
1995
Interpolation of operators when the extreme spaces are \(L^ \infty\). Zbl 0814.46063
Bastero, Jesús; Ruiz, Francisco J.
2
1993
Embedding \(\ell^ n_ p\) into \(r\)-Banach spaces, \(0<r\leq p<2\). Zbl 0824.46026
Bastero, Jesús; Bernués, Julio
1
1993
On smallest and largest spaces among rearrangement-invariant \(p\)-Banach function spaces (\(0<p<1\)). Zbl 0754.46021
Bastero, J.; Hudzik, H.; Steinberg, A. M.
5
1991
An explicit expression for the \(K_ r\) functionals of interpolation between \(L^ p\) spaces. Zbl 0845.46041
Bastero, Jesús; Raynaud, Yves; Rezola, M. Luisa
2
1991
Applications of deviation inequalities on finite metric sets. Zbl 0845.46009
Bastero, Jesús; Bernués, Julio
1
1991
Representing types in Orlicz and Lorentz sequence spaces. Zbl 0716.46022
Bastero, Jesús; Raynaud, Yves
1
1990
On the \(K\)-functional of interpolation between \(L^ p\) and Orlicz spaces. Zbl 0714.46019
Bastero, Jesús; Raynaud, Yves
1
1990
Embedding \(\ell_{\infty}^ n\)-cubes in finite-dimensional 1- subsymmetric spaces. Zbl 0717.46017
Bastero, Jesús; Bernués, Julio; Kalton, Nigel
1
1989
Quotients and interpolation spaces of stable Banach spaces. Zbl 0714.46053
Bastero, J.; Raynaud, Y.
1
1989
Embedding unconditional stable Banach spaces into symmetric stable Banach spaces. Zbl 0609.46010
Bastero, Jesús
1
1986
Stabilité des espaces de Banach de suites vectorielles. (Stability of Banach spaces of vector-valued sequences). Zbl 0559.46011
Bastero, Jesús; Mira, José-Manuel
1
1984
\(\ell^q\)-subspaces of stable \(p\)-Banach spaces, \(0<p\leq 1\). Zbl 0503.46015
Bastero, J.
3
1983
A restricted form of the therem of Maurey-Pisier for the cotype in p- Banach spaces. Zbl 0486.46016
Bastero, J.
1
1982
all top 5

Cited by 197 Authors

14 Milman, Mario Marcos
12 Martín, Joaquim
10 Bastero, Jesús
9 Alonso-Gutiérrez, David
9 Li, Aijun
6 Gogatishvili, Amiran
6 Xiong, Ge
6 Zhang, Pu
5 Bernués, Julio
5 Huang, Qingzhong
5 Leng, Gangsong
5 Prochno, Joscha
5 Zhang, Gaoyong
4 Pick, Luboš
4 Raynaud, Yves
4 Romance, Miguel
4 Thäle, Christoph
4 Zou, Du
3 Carro, María Jesús
3 Fiorenza, Alberto
3 He, Binwu
3 Klartag, Bo’az
3 Kolwicz, Paweł
3 Lu, Shanzhen
3 Lutwak, Erwin
3 Mustafayev, Rza Ch.
3 Xi, Dongmeng
3 Yang, Deane
2 Agcayazi, Mujdat
2 Cassani, Daniele
2 Cwikel, Michael
2 Deringoz, Fatih
2 Ericsson, Stefan
2 Formica, Maria Rosaria
2 Fu, Zunwei
2 Gruber, Peter Manfred
2 Guliyev, Vagif Sabir
2 Hörrmann, Julia
2 Hu, Jiaqi
2 Ioku, Norisuke
2 Kamińska, Anna
2 Karadzhov, Georgi Eremiev
2 Kolesnikov, Alexander V.
2 Li, Hongliang
2 Litvak, Aleksandr Evgen’evich
2 Lv, Songjun
2 Maligranda, Lech
2 Milman, Emanuel
2 Naszódi, Márton
2 Nursultanov, Erlan D.
2 Paouris, Grigoris
2 Persson, Lars-Erik
2 Tikhonov, Sergey Yur’evich
2 Tleukhanova, Nazerke Tulekovna
2 Vritsiou, Beatrice-Helen
2 Vybíral, Jan
2 Wu, Jianglong
2 Zhao, Fayou
1 Arias-de-Reyna, Juan
1 Asekritova, Irina U.
1 Ball, Keith Martin
1 Bilgiçli, Nevin
1 Bo, Yunfei
1 Böröczky, Karoly jun.
1 Botelho, Geraldo
1 Capone, Claudia
1 Cattiaux, Patrick
1 Cavaliere, Paola
1 Cerda, Joan L.
1 Chen, Rui
1 Chill, Ralph
1 Cianchi, Andrea
1 Ciesielski, Maciej
1 Clavero, Nadia
1 Côte, Raphaël
1 Duong, Dao Van
1 Edmunds, David Eric
1 Eldan, Ronen
1 Erdélyi, Tamás
1 Fan, Liping
1 Fan, Ming
1 Fan, Yun
1 Ferreyra, Elida V.
1 Flores, Guillermo Javier
1 Friedland, Omer
1 Gallarati, Chiara
1 Gao, Guilian
1 Gao, Jinghuai
1 Gao, Peng
1 Gholizadeh, Leila
1 Giannopoulos, Apostolos A.
1 Godefroy, Gilles
1 Guédon, Olivier
1 Guillin, Arnaud
1 Hasanov, Sabir G.
1 Hinrichs, Aicke
1 Hu, Junfang
1 Hug, Daniel
1 Ishiwata, Michinori
1 Ivanov, Grigory M.
...and 97 more Authors
all top 5

Cited in 78 Serials

15 Journal of Mathematical Analysis and Applications
14 Advances in Mathematics
11 Journal of Functional Analysis
8 Proceedings of the American Mathematical Society
6 Israel Journal of Mathematics
5 Journal of Approximation Theory
4 Advances in Applied Mathematics
4 The Journal of Geometric Analysis
3 Geometriae Dedicata
3 Mathematika
3 Transactions of the American Mathematical Society
3 Potential Analysis
3 Positivity
2 Mathematical Notes
2 Beiträge zur Algebra und Geometrie
2 Compositio Mathematica
2 Czechoslovak Mathematical Journal
2 Mathematische Zeitschrift
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Results in Mathematics
2 Journal of Complexity
2 Discrete & Computational Geometry
2 Indagationes Mathematicae. New Series
2 Calculus of Variations and Partial Differential Equations
2 St. Petersburg Mathematical Journal
2 Revista Matemática Complutense
2 Acta Mathematica Sinica. English Series
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Mediterranean Journal of Mathematics
2 Frontiers of Mathematics in China
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Arkiv för Matematik
1 The Annals of Probability
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Collectanea Mathematica
1 Glasgow Mathematical Journal
1 Integral Equations and Operator Theory
1 Inventiones Mathematicae
1 Journal of the Mathematical Society of Japan
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Numerical Functional Analysis and Optimization
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Tokyo Journal of Mathematics
1 Zeitschrift für Analysis und ihre Anwendungen
1 Acta Mathematica Hungarica
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Journal of Theoretical Probability
1 Science in China. Series A
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Mathematical Programming. Series A. Series B
1 Applied Mathematics. Series B (English Edition)
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 The Journal of Fourier Analysis and Applications
1 Journal of Inequalities and Applications
1 Fractional Calculus & Applied Analysis
1 Communications in Contemporary Mathematics
1 Advances in Geometry
1 Journal of Evolution Equations
1 Central European Journal of Mathematics
1 Journal of Function Spaces and Applications
1 Fixed Point Theory and Applications
1 Complex Analysis and Operator Theory
1 Journal of Mathematical Inequalities
1 Electronic Journal of Statistics
1 Banach Journal of Mathematical Analysis
1 Differential Equations and Applications
1 Science China. Mathematics
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Journal of Pseudo-Differential Operators and Applications
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Annals of Functional Analysis
1 Eurasian Mathematical Journal
1 Analysis and Mathematical Physics
1 Forum of Mathematics, Sigma
1 Journal of Function Spaces

Citations by Year