Bourgain, Jean; Mirek, Mariusz; Stein, Elias M.; Wróbel, Błażej On the Hardy-Littlewood maximal functions in high dimensions: continuous and discrete perspective. (English) Zbl 1479.42046 Ciatti, Paolo (ed.) et al., Geometric aspects of harmonic analysis. Proceedings of the INdAM meeting, Cortona, Italy, June 25–29, 2018. Cham: Springer. Springer INdAM Ser. 45, 107-148 (2021). MSC: 42B25 42B15 52A20 PDFBibTeX XMLCite \textit{J. Bourgain} et al., Springer INdAM Ser. 45, 107--148 (2021; Zbl 1479.42046) Full Text: DOI arXiv
Bourgain, Jean; Mirek, Mariusz; Stein, Elias M.; Wróbel, Błażej On dimension-free variational inequalities for averaging operators in \({\mathbb{R}^d}\). (English) Zbl 1402.42023 Geom. Funct. Anal. 28, No. 1, 58-99 (2018). Reviewer: Javier Soria (Barcelona) MSC: 42B25 47J20 52A20 PDFBibTeX XMLCite \textit{J. Bourgain} et al., Geom. Funct. Anal. 28, No. 1, 58--99 (2018; Zbl 1402.42023) Full Text: DOI arXiv
Bourgain, Jean; Demeter, Ciprian New bounds for the discrete Fourier restriction to the sphere in 4D and 5D. (English) Zbl 1322.42013 Int. Math. Res. Not. 2015, No. 11, 3150-3184 (2015). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 42B10 52A21 42B25 11D72 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{C. Demeter}, Int. Math. Res. Not. 2015, No. 11, 3150--3184 (2015; Zbl 1322.42013) Full Text: DOI arXiv
Bourgain, Jean; Kontorovich, Alex [Varjú, Péter P.] On the local-global conjecture for integral Apollonian gaskets. With an appendix by Péter P. Varjú. (English) Zbl 1301.11046 Invent. Math. 196, No. 3, 589-650 (2014). Reviewer: Yong-Gao Chen (Nanjing) MSC: 11F03 52C26 11L05 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{A. Kontorovich}, Invent. Math. 196, No. 3, 589--650 (2014; Zbl 1301.11046) Full Text: DOI arXiv
Bourgain, J. Corrigendum to “Integral Apollonian circle packings and prime curvatures”. (English) Zbl 1281.52012 J. Anal. Math. 120, 393 (2013). MSC: 52C15 11H55 PDFBibTeX XMLCite \textit{J. Bourgain}, J. Anal. Math. 120, 393 (2013; Zbl 1281.52012) Full Text: DOI
Bourgain, J. Integral Apollonian circle packings and prime curvatures. (English) Zbl 1281.52011 J. Anal. Math. 118, No. 1, 221-249 (2012); corrigendum ibid. 120, 393 (2013). Reviewer: Horst Martini (Chemnitz) MSC: 52C15 11H55 PDFBibTeX XMLCite \textit{J. Bourgain}, J. Anal. Math. 118, No. 1, 221--249 (2012; Zbl 1281.52011) Full Text: DOI DOI arXiv
Bourgain, Jean; Fuchs, Elena A proof of the positive density conjecture for integer Apollonian circle packings. (English) Zbl 1228.11035 J. Am. Math. Soc. 24, No. 4, 945-967 (2011). Reviewer: Ahmet Tekcan (Bursa) MSC: 11H31 52C26 11D09 11E16 11E20 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{E. Fuchs}, J. Am. Math. Soc. 24, No. 4, 945--967 (2011; Zbl 1228.11035) Full Text: DOI arXiv
Bourgain, J.; Klartag, B.; Milman, V. Symmetrization and isotropic constants of convex bodies. (English) Zbl 1070.52002 Milman, V. D. (ed.) et al., Geometric aspects of functional analysis. Papers from the Israel seminar (GAFA) 2002–2003. Berlin: Springer (ISBN 3-540-22360-6/pbk). Lecture Notes in Mathematics 1850, 101-115 (2004). Reviewer: Rolf Schneider (Freiburg i. Br.) MSC: 52A20 52A40 PDFBibTeX XMLCite \textit{J. Bourgain} et al., Lect. Notes Math. 1850, 101--115 (2004; Zbl 1070.52002)
Bourgain, Jean; Klartag, Bo’az; Milman, Vitali A reduction of the slicing problem to finite volume ratio bodies. (English) Zbl 1036.52005 C. R., Math., Acad. Sci. Paris 336, No. 4, 331-334 (2003). Reviewer: Konrad Swanepoel (Unisa) MSC: 52A20 46B20 PDFBibTeX XMLCite \textit{J. Bourgain} et al., C. R., Math., Acad. Sci. Paris 336, No. 4, 331--334 (2003; Zbl 1036.52005) Full Text: DOI
Bourgain, J. On the isotropy-constant problem for “Psi-2”-bodies. (English) Zbl 1039.52005 Milman, V. D. (ed.) et al., Geometric aspects of functional analysis. Proceedings of the Israel seminar (GAFA) 2001–2002. Berlin: Springer (ISBN 3-540-00485-8/pbk). Lect. Notes Math. 1807, 114-121 (2003). Reviewer: Erhard Heil (Darmstadt) MSC: 52A20 52A21 PDFBibTeX XMLCite \textit{J. Bourgain}, Lect. Notes Math. 1807, 114--121 (2003; Zbl 1039.52005)
Bourgain, Jean; Zhang, Gaoyong On a generalization of the Busemann-Petty problem. (English) Zbl 0929.52003 Ball, Keith M. (ed.) et al., Convex geometric analysis. Cambridge: Cambridge University Press. Math. Sci. Res. Inst. Publ. 34, 65-76 (1999). Reviewer: R.Schneider (Freiburg i.Br.) MSC: 52A20 52A40 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{G. Zhang}, Math. Sci. Res. Inst. Publ. 34, 65--76 (1999; Zbl 0929.52003) Full Text: Link
Bourgain, Jean Random points in isotropic convex sets. (English) Zbl 0941.52003 Ball, Keith M. (ed.) et al., Convex geometric analysis. Cambridge: Cambridge University Press. Math. Sci. Res. Inst. Publ. 34, 53-58 (1999). Reviewer: Daniel Hug (Freiburg) MSC: 52A20 60D05 PDFBibTeX XMLCite \textit{J. Bourgain}, Math. Sci. Res. Inst. Publ. 34, 53--58 (1999; Zbl 0941.52003) Full Text: Link
Bourgain, Jean; Lindenstrauss, Joram Approximating the ball by a Minkowski sum of segments with equal length. (English) Zbl 0770.52005 Discrete Comput. Geom. 9, No. 2, 131-144 (1993). Reviewer: R.Schneider (Freiburg i.Br.) MSC: 52A21 52A27 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{J. Lindenstrauss}, Discrete Comput. Geom. 9, No. 2, 131--144 (1993; Zbl 0770.52005) Full Text: DOI EuDML
Bourgain, J. On the Busemann-Petty problem for perturbations of the ball. (English) Zbl 0752.52001 Geom. Funct. Anal. 1, No. 1, 1-13 (1991). Reviewer: E.Hertel (Jena) MSC: 52A40 52A38 PDFBibTeX XMLCite \textit{J. Bourgain}, Geom. Funct. Anal. 1, No. 1, 1--13 (1991; Zbl 0752.52001) Full Text: DOI EuDML
Bourgain, J. On the distribution of polynomials on high dimensional convex sets. (English) Zbl 0773.46013 Geometric aspects of functional analysis, Proc. Isr. Semin., GAFA, Isr. 1989-90, Lect. Notes Math. 1469, 127-137 (1991). Reviewer: V.V.Peller (St.Peterburg) MSC: 46E30 52A20 PDFBibTeX XMLCite \textit{J. Bourgain}, Lect. Notes Math. 1469, 127--137 (1991; Zbl 0773.46013)
Bourgain, J.; Lindenstrauss, J.; Milman, V. Approximation of zonoids by zonotopes. (English) Zbl 0682.46008 Acta Math. 162, No. 1-2, 73-141 (1989). Reviewer: E.Behrends MSC: 46B20 52A05 PDFBibTeX XMLCite \textit{J. Bourgain} et al., Acta Math. 162, No. 1--2, 73--141 (1989; Zbl 0682.46008) Full Text: DOI
Bourgain, J.; Lindenstrauss, J.; Milman, V. Estimates related to Steiner symmetrizations. (English) Zbl 0673.52001 Geometric aspects of functional analysis, Isr. Semin., GAFA, Isr. 1987-88, Lect. Notes Math. 1376, 264-273 (1989). Reviewer: R.Schneider MSC: 52A20 PDFBibTeX XML
Bourgain, J.; Lindenstrauss, J. Distribution of points on spheres and approximation by zonotopes. (English) Zbl 0667.52001 Isr. J. Math. 64, No. 1, 25-31 (1988). Reviewer: R.Schneider MSC: 52A20 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{J. Lindenstrauss}, Isr. J. Math. 64, No. 1, 25--31 (1988; Zbl 0667.52001) Full Text: DOI
Bourgain, J.; Szarek, S. J. The Banach-Mazur distance to the cube and the Dvoretzky-Rogers factorization. (English) Zbl 0654.46018 Isr. J. Math. 62, No. 2-3, 169-180 (1988). Reviewer: J.Daneš MSC: 46B20 52A37 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{S. J. Szarek}, Isr. J. Math. 62, No. 2--3, 169--180 (1988; Zbl 0654.46018) Full Text: DOI
Bourgain, J.; Lindenstrauss, J. Projection bodies. (English) Zbl 0645.52002 Geometric aspects of functional analysis, Isr. Semin. 1986-87, Lect. Notes Math. 1317, 250-270 (1988). Reviewer: R.Schneider MSC: 52A40 52A20 PDFBibTeX XML
Bourgain, J.; Lindenstrauss, J.; Milman, V. D. Minkowski sums and symmetrizations. (English) Zbl 0645.52001 Geometric aspects of functional analysis, Isr. Semin. 1986-87, Lect. Notes Math. 1317, 44-66 (1988). Reviewer: R.Schneider MSC: 52A20 60D05 52A22 PDFBibTeX XML
Bourgain, Jean; Lindenstrauss, Joram Nouveaux résultats sur les zonoïdes et les corps de projection. (New results on zonoïds and projection bodies). (French) Zbl 0639.52002 C. R. Acad. Sci., Paris, Sér. I 306, No. 8, 377-380 (1988). Reviewer: L.A.Santaló MSC: 52A20 52A40 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{J. Lindenstrauss}, C. R. Acad. Sci., Paris, Sér. I 306, No. 8, 377--380 (1988; Zbl 0639.52002)
Bourgain, J. Remarques sur les zonoïdes (projection bodies, etc.). (Remarks on zonoids (projection bodies, etc.).). (French) Zbl 0655.52008 Sémin. d’analyse fonctionnelle, Paris 1985/1986/1987, Publ. Math. Univ. Paris VII 28, 171-186 (1987). Reviewer: R.Schneider MSC: 52A40 PDFBibTeX XML
Bourgain, J. On dimension free maximal inequalities for convex symmetric bodies in \({\mathbb{R}}^ n\). (English) Zbl 0622.52005 Geometrical aspects of functional analysis, Israel Semin. 1985-86, Lect. Notes Math. 1267, 168-176 (1987). Reviewer: L.A.Santaló MSC: 52A20 42B10 52A40 42B25 47L07 PDFBibTeX XML
Bourgain, J.; Milman, V. D. New volume ratio properties for convex symmetric bodies in \({\mathbb{R}}^ n\). (English) Zbl 0617.52006 Invent. Math. 88, 319-340 (1987). Reviewer: G.Ramharter MSC: 52A20 11H06 43A25 52A40 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{V. D. Milman}, Invent. Math. 88, 319--340 (1987; Zbl 0617.52006) Full Text: DOI EuDML
Bourgain, Jean; Milman, Vitali D. Sections euclidiennes et volume des corps symétriques convexes dans \(R^ n\). (Euclidean sections and volume of symmetric convex bodies in \(R^ n.)\). (French) Zbl 0576.52002 C. R. Acad. Sci., Paris, Sér. I 300, 435-438 (1985). Reviewer: E.Heil MSC: 52A40 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{V. D. Milman}, C. R. Acad. Sci., Paris, Sér. I 300, 435--438 (1985; Zbl 0576.52002)