Edit Profile (opens in new tab) Bernués, Julio Co-Author Distance Author ID: bernues.julio Published as: Bernués, Julio; Bernués, J. External Links: MGP Documents Indexed: 23 Publications since 1989 Co-Authors: 13 Co-Authors with 21 Joint Publications 319 Co-Co-Authors all top 5 Co-Authors 2 single-authored 12 Bastero, Jesús 8 Alonso-Gutiérrez, David 3 Peña, Ana 2 González Merino, Bernardo 2 Romance, Miguel 1 Brazitikos, Silouanos 1 Carbery, Anthony 1 Deliyanni, Irene 1 Kalton, Nigel John 1 López-Valdés, María 1 Paouris, Grigoris 1 Pascual, Javier 1 Wolff, Paweł all top 5 Serials 5 Journal of Mathematical Analysis and Applications 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 1 Israel Journal of Mathematics 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Studia Mathematica 1 Czechoslovak Mathematical Journal 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Publicationes Mathematicae Debrecen 1 Acta Mathematica Hungarica 1 Extracta Mathematicae 1 Revista Matemática de la Universidad Complutense de Madrid 1 Geometric and Functional Analysis. GAFA 1 La Gaceta de la Real Sociedad Matemática Española all top 5 Fields 14 Functional analysis (46-XX) 12 Convex and discrete geometry (52-XX) 7 Probability theory and stochastic processes (60-XX) 3 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 15 Publications have been cited 77 times in 66 Documents Cited by ▼ Year ▼ Zhang’s inequality for log-concave functions. Zbl 1446.52005 Alonso-Gutiérrez, David; Bernués, Julio; González Merino, Bernardo 13 2020 On the shape of \(p\)-convex hulls, \(0<p<1\). Zbl 0929.52006 Bernués, J.; Peña, A. 11 1997 An extension of Berwald’s inequality and its relation to Zhang’s inequality. Zbl 1435.26019 Alonso-Gutiérrez, David; Bernués, Julio; González Merino, Bernardo 9 2020 An extension of Milman’s reverse Brunn-Minkowski inequality. Zbl 0836.52001 Bastero, J.; Bernués, J.; Peña, A. 8 1995 On the isotropy constant of projections of polytopes. Zbl 1193.52005 Alonso-Gutiérrez, David; Bastero, Jesús; Bernués, Julio; Wolff, Paweł 8 2010 The theorems of Caratheodory and Gluskin for \(0<p<1\). Zbl 0818.46005 Bastero, Jesús; Bernués, Julio; Peña, Ana 6 1995 From John to Gauss–John positions via dual mixed volumes. Zbl 1112.52005 Bastero, Jesús; Bernués, Julio; Romance, Miguel 5 2007 Asymptotic behaviour of averages of \(k\)-dimensional marginals of measures on \(\mathbb R^n\). Zbl 1157.60011 Bastero, Jesús; Bernués, Julio 5 2009 Tail estimates and a random embedding of \(\ell^n_p\) into \(l_r^{(1+ \varepsilon)n}\), \(0<r<p<2\). Zbl 1170.60304 Bernués, Julio; López-Valdes, Maria 3 2007 Families of finite subsets of \(\mathbb{N}\) of low complexity and Tsirelson type spaces. Zbl 0990.46008 Bernués, Julio; Deliyanni, Irene 2 2001 Factoring Sobolev inequalities through classes of functions. Zbl 1279.46023 Alonso-Gutiérrez, David; Bastero, Jesús; Bernués, Julio 2 2012 High dimensional random sections of isotropic convex bodies. Zbl 1221.52007 Alonso-Gutiérrez, David; Bastero, Jesús; Bernués, Julio; Paouris, Grigoris 2 2010 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 Embedding \(\ell_{\infty}^ n\)-cubes in finite-dimensional 1- subsymmetric spaces. Zbl 0717.46017 Bastero, Jesús; Bernués, Julio; Kalton, Nigel 1 1989 Zhang’s inequality for log-concave functions. Zbl 1446.52005 Alonso-Gutiérrez, David; Bernués, Julio; González Merino, Bernardo 13 2020 An extension of Berwald’s inequality and its relation to Zhang’s inequality. Zbl 1435.26019 Alonso-Gutiérrez, David; Bernués, Julio; González Merino, Bernardo 9 2020 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 8 2010 High dimensional random sections of isotropic convex bodies. Zbl 1221.52007 Alonso-Gutiérrez, David; Bastero, Jesús; Bernués, Julio; Paouris, Grigoris 2 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 5 2007 Tail estimates and a random embedding of \(\ell^n_p\) into \(l_r^{(1+ \varepsilon)n}\), \(0<r<p<2\). Zbl 1170.60304 Bernués, Julio; López-Valdes, Maria 3 2007 Families of finite subsets of \(\mathbb{N}\) of low complexity and Tsirelson type spaces. Zbl 0990.46008 Bernués, Julio; Deliyanni, Irene 2 2001 On the shape of \(p\)-convex hulls, \(0<p<1\). Zbl 0929.52006 Bernués, J.; Peña, A. 11 1997 An extension of Milman’s reverse Brunn-Minkowski inequality. Zbl 0836.52001 Bastero, J.; Bernués, J.; Peña, A. 8 1995 The theorems of Caratheodory and Gluskin for \(0<p<1\). Zbl 0818.46005 Bastero, Jesús; Bernués, Julio; Peña, Ana 6 1995 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 Embedding \(\ell_{\infty}^ n\)-cubes in finite-dimensional 1- subsymmetric spaces. Zbl 0717.46017 Bastero, Jesús; Bernués, Julio; Kalton, Nigel 1 1989 all cited Publications top 5 cited Publications all top 5 Cited by 79 Authors 11 Alonso-Gutiérrez, David 7 Li, Aijun 5 Bernués, Julio 5 González Merino, Bernardo 5 Prochno, Joscha 4 Adilov, Gabil R. 4 Sezer, Sevda 4 Tinaztepe, Gültekin 3 Eken, Zeynep 3 Fang, Niufa 3 Klartag, Bo’az 3 Thäle, Christoph 3 Villa, Rafael 3 Yuan, George Xianzhi 2 Bastero, Jesús 2 Friedland, Omer 2 Guédon, Olivier 2 Haddad, Julián E. 2 Hörrmann, Julia 2 Huang, Qingzhong 2 Jiménez, Carlos Hugo 2 Kemali, Serap 2 Leng, Gangsong 2 Litvak, Aleksandr Evgen’evich 2 Martín-Goñi, Javier 2 Montenegro, Marcos 2 Paouris, Grigoris 2 Roysdon, Michael 2 Vybíral, Jan 2 Xiao, Jianzhong 2 Yepes Nicolás, Jesús 2 Zvavitch, Artem 1 Arias-de-Reyna, Juan 1 Ball, Keith Martin 1 Brazitikos, Silouanos 1 Carbery, Anthony 1 da Silva, Letícia Alves 1 Eldan, Ronen 1 Gholizadeh, Leila 1 Giannopoulos, Apostolos A. 1 Godefroy, Gilles 1 Grupel, Uri 1 Hernández Cifre, María A. 1 Hinrichs, Aicke 1 Hioni, Labrini 1 Huang, Hui 1 Hug, Daniel 1 Karapınar, Erdal 1 Kim, Jaegil 1 Kolleck, Anton 1 Langharst, Dylan 1 Lechner, Richard 1 Lopez-Abad, Jordi 1 Lu, Ying 1 Lucas, Eduardo 1 Meckes, Elizabeth S. 1 Meckes, Mark W. 1 Nguyen Van Dung 1 Pascual, Javier 1 Passenbrunner, Markus 1 Reitzner, Matthias 1 Romance, Miguel 1 Roohi, Mehdi 1 Strzelecki, Michał 1 Todorcevic, Stevo B. 1 Tomczak-Jaegermann, Nicole 1 Tsolomitis, Antonis 1 Turchi, Nicola 1 Xi, Dongmeng 1 Xia, Luoyan 1 Xing, Sudan 1 Yang, Jin 1 Yaskin, Vladyslav 1 Ye, Deping 1 Zhang, Gaoyong 1 Zhang, Yan-Min 1 Zhou, Jiazu 1 Zhu, Jiangxing 1 Zhu, Xinghua all top 5 Cited in 41 Serials 6 Journal of Mathematical Analysis and Applications 6 Advances in Mathematics 5 Journal of Functional Analysis 4 The Journal of Geometric Analysis 2 Mathematika 2 Numerical Functional Analysis and Optimization 2 Proceedings of the American Mathematical Society 2 Journal of Complexity 2 Journal of Theoretical Probability 2 Communications in Contemporary Mathematics 2 Fixed Point Theory and Algorithms for Sciences and Engineering 1 Israel Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Czechoslovak Mathematical Journal 1 Geometriae Dedicata 1 Inventiones Mathematicae 1 Journal of Approximation Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal of Optimization Theory and Applications 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the London Mathematical Society. Third Series 1 Results in Mathematics 1 Advances in Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Calculus of Variations and Partial Differential Equations 1 Journal of Convex Analysis 1 Positivity 1 Acta Mathematica Sinica. English Series 1 Applied Mathematics E-Notes 1 Hacettepe Journal of Mathematics and Statistics 1 Mediterranean Journal of Mathematics 1 Fixed Point Theory and Applications 1 Journal of Fixed Point Theory and Applications 1 Journal of Mathematical Inequalities 1 Journal of Function Spaces 1 Korean Journal of Mathematics 1 Bulletin of the Hellenic Mathematical Society 1 AIMS Mathematics all top 5 Cited in 19 Fields 41 Convex and discrete geometry (52-XX) 22 Functional analysis (46-XX) 17 Real functions (26-XX) 12 Probability theory and stochastic processes (60-XX) 9 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Approximations and expansions (41-XX) 3 General topology (54-XX) 3 Algebraic topology (55-XX) 2 Partial differential equations (35-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year