Bourgain, Jean; Mirek, Mariusz; Stein, Elias M.; Wright, James On a multi-parameter variant of the Bellow-Furstenberg problem. (English) Zbl 07772479 Forum Math. Pi 11, Paper No. e23, 64 p. (2023). Reviewer: Thomas B. Ward (Durham) MSC: 37A30 37A46 42A45 42B25 11L03 11L07 11L15 11P55 PDFBibTeX XMLCite \textit{J. Bourgain} et al., Forum Math. Pi 11, Paper No. e23, 64 p. (2023; Zbl 07772479) Full Text: DOI arXiv OA License
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 discrete Hardy-Littlewood maximal functions over the balls in \(\mathbb{Z}^d\): dimension-free estimates. (English) Zbl 1446.42026 Klartag, Bo’az (ed.) et al., Geometric aspects of functional analysis. Israel seminar (GAFA) 2017–2019. Volume 1. Cham: Springer. Lect. Notes Math. 2256, 127-169 (2020). MSC: 42B25 PDFBibTeX XMLCite \textit{J. Bourgain} et al., Lect. Notes Math. 2256, 127--169 (2020; Zbl 1446.42026) Full Text: DOI arXiv
Bourgain, Jean; Demeter, Ciprian; Kemp, Dominique Decouplings for real analytic surfaces of revolution. (English) Zbl 1446.42009 Klartag, Bo’az (ed.) et al., Geometric aspects of functional analysis. Israel seminar (GAFA) 2017–2019. Volume 1. Cham: Springer. Lect. Notes Math. 2256, 113-125 (2020). MSC: 42B10 11D41 14J70 PDFBibTeX XMLCite \textit{J. Bourgain} et al., Lect. Notes Math. 2256, 113--125 (2020; Zbl 1446.42009) Full Text: DOI arXiv
Bourgain, Jean; Mirek, Mariusz; Stein, Elias M.; Wróbel, Błażej Dimension-free estimates for discrete Hardy-Littlewood averaging operators over the cubes in \(\mathbb{Z}^d\). (English) Zbl 1431.42033 Am. J. Math. 141, No. 4, 857-905 (2019). Reviewer: Santiago Boza (Barcelona) MSC: 42B25 PDFBibTeX XMLCite \textit{J. Bourgain} et al., Am. J. Math. 141, No. 4, 857--905 (2019; Zbl 1431.42033) Full Text: DOI arXiv
Bourgain, Jean; Chang, Mei-Chu On a paper of Erdős and Szekeres. (English) Zbl 1453.11040 J. Anal. Math. 136, No. 1, 253-271 (2018). Reviewer: Štefan Porubský (Praha) MSC: 11C08 11B83 11B75 42A05 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{M.-C. Chang}, J. Anal. Math. 136, No. 1, 253--271 (2018; Zbl 1453.11040) 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 Decoupling inequalities and some mean-value theorems. (English) Zbl 1380.42008 J. Anal. Math. 133, 313-334 (2017). MSC: 42B10 11L07 PDFBibTeX XMLCite \textit{J. Bourgain}, J. Anal. Math. 133, 313--334 (2017; Zbl 1380.42008) Full Text: DOI arXiv
Bourgain, Jean; Demeter, Ciprian Decouplings for curves and hypersurfaces with nonzero Gaussian curvature. (English) Zbl 1384.42016 J. Anal. Math. 133, 279-311 (2017). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 42B37 42B10 14J70 14H45 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{C. Demeter}, J. Anal. Math. 133, 279--311 (2017; Zbl 1384.42016) Full Text: DOI arXiv
Bourgain, Jean; Lewko, Mark Sidonicity and variants of Kaczmarz’s problem. (Sidonicité et un problème de Kaczmarz.) (English. French summary) Zbl 1388.43008 Ann. Inst. Fourier 67, No. 3, 1321-1352 (2017). Reviewer: Daniel Li (Lens) MSC: 43A46 42C05 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{M. Lewko}, Ann. Inst. Fourier 67, No. 3, 1321--1352 (2017; Zbl 1388.43008) Full Text: DOI arXiv
Bourgain, Jean; Demeter, Ciprian; Guo, Shaoming Sharp bounds for the cubic Parsell-Vinogradov system in two dimensions. (English) Zbl 1386.11093 Adv. Math. 320, 827-875 (2017). Reviewer: Stephan Baier (West Bengal) MSC: 11L07 42A45 PDFBibTeX XMLCite \textit{J. Bourgain} et al., Adv. Math. 320, 827--875 (2017; Zbl 1386.11093) Full Text: DOI arXiv
Bourgain, Jean; Demeter, Ciprian A study guide for the \(l^{2}\) decoupling theorem. (English) Zbl 1370.42021 Chin. Ann. Math., Ser. B 38, No. 1, 173-200 (2017). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 42B37 42B10 14J70 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{C. Demeter}, Chin. Ann. Math., Ser. B 38, No. 1, 173--200 (2017; Zbl 1370.42021) Full Text: DOI arXiv
Bourgain, J. Decoupling, exponential sums and the Riemann zeta function. (English) Zbl 1352.11065 J. Am. Math. Soc. 30, No. 1, 205-224 (2017). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11M06 11L07 42B37 PDFBibTeX XMLCite \textit{J. Bourgain}, J. Am. Math. Soc. 30, No. 1, 205--224 (2017; Zbl 1352.11065) Full Text: DOI arXiv
Bourgain, Jean; Demeter, Ciprian Mean value estimates for Weyl sums in two dimensions. (English) Zbl 1408.11082 J. Lond. Math. Soc., II. Ser. 94, No. 3, 814-838 (2016). MSC: 11L07 42A45 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{C. Demeter}, J. Lond. Math. Soc., II. Ser. 94, No. 3, 814--838 (2016; Zbl 1408.11082) Full Text: DOI arXiv
Bourgain, Jean; Demeter, Ciprian; Guth, Larry Proof of the main conjecture in Vinogradov’s mean value theorem for degrees higher than three. (English) Zbl 1408.11083 Ann. Math. (2) 184, No. 2, 633-682 (2016). Reviewer: D. R. Heath-Brown (Garsington) MSC: 11L07 42B37 PDFBibTeX XMLCite \textit{J. Bourgain} et al., Ann. Math. (2) 184, No. 2, 633--682 (2016; Zbl 1408.11083) Full Text: DOI arXiv
Ambrosio, Luigi; Bourgain, Jean; Brezis, Haim; Figalli, Alessio BMO-type norms related to the perimeter of sets. (English) Zbl 1352.46026 Commun. Pure Appl. Math. 69, No. 6, 1062-1086 (2016). Reviewer: Thomas Zürcher (Coventry) MSC: 46E30 42B35 28A75 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., Commun. Pure Appl. Math. 69, No. 6, 1062--1086 (2016; Zbl 1352.46026) Full Text: DOI arXiv
Bourgain, Jean; Demeter, Ciprian The proof of the \(l^2\) decoupling conjecture. (English) Zbl 1322.42014 Ann. Math. (2) 182, No. 1, 351-389 (2015). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 42B10 11D41 14J70 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{C. Demeter}, Ann. Math. (2) 182, No. 1, 351--389 (2015; Zbl 1322.42014) 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; Li, Dong On an endpoint Kato-Ponce inequality. (English) Zbl 1340.42021 Differ. Integral Equ. 27, No. 11-12, 1037-1072 (2014). Reviewer: Kôzô Yabuta (Nishinomiya) MSC: 42B15 42B20 42B25 46E35 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{D. Li}, Differ. Integral Equ. 27, No. 11--12, 1037--1072 (2014; Zbl 1340.42021)
Bourgain, Jean On the Hardy-Littlewood maximal function for the cube. (English) Zbl 1309.42023 Isr. J. Math. 203, 275-293 (2014). Reviewer: Santiago Boza (Vilanova i la Geltrú) MSC: 42B25 PDFBibTeX XMLCite \textit{J. Bourgain}, Isr. J. Math. 203, 275--293 (2014; Zbl 1309.42023) Full Text: DOI arXiv
Bourgain, Jean On oscillatory integral operators in higher dimensions. (English) Zbl 1301.42022 Fefferman, Charles (ed.) et al., Advances in analysis. The legacy of Elias M. Stein. Proceedings of the conference “Analysis and applications” held in honor of the 80th birthday of Elias M. Stein, Princeton, NJ, USA, May 16–20, 2011. Princeton, NJ: Princeton University Press (ISBN 978-0-691-15941-6/hbk; 978-1-400-84893-5/ebook). Princeton Mathematical Series 50, 47-62 (2014). Reviewer: Tuomas Hytönen (Helsinki) MSC: 42B20 42B15 42B25 PDFBibTeX XMLCite \textit{J. Bourgain}, Princeton Math. Ser. 50, 47--62 (2014; Zbl 1301.42022)
Bourgain, Jean; Demeter, Ciprian \(l^p\) decouplings for hypersurfaces with nonzero Gaussian curvature. arXiv:1407.0291 Preprint, arXiv:1407.0291 [math.CA] (2014). MSC: 42A70 BibTeX Cite \textit{J. Bourgain} and \textit{C. Demeter}, ``$l^p$ decouplings for hypersurfaces with nonzero Gaussian curvature'', Preprint, arXiv:1407.0291 [math.CA] (2014) Full Text: arXiv OA License
Bourgain, Jean; Demeter, Ciprian Improved estimates for the discrete Fourier restriction to the higher dimensional sphere. (English) Zbl 1319.42006 Ill. J. Math. 57, No. 1, 213-227 (2013). Reviewer: Angel V. Kumchev (Towson) MSC: 42B05 11L07 11L05 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{C. Demeter}, Ill. J. Math. 57, No. 1, 213--227 (2013; Zbl 1319.42006) Full Text: arXiv Euclid
Bourgain, Jean On the Schrödinger maximal function in higher dimension. (English) Zbl 1291.35253 Proc. Steklov Inst. Math. 280, 46-60 (2013); reprinted from Tr. Mat. Inst. Steklova 280, 53-66 (2013). Reviewer: Marius Ghergu (Dublin) MSC: 35Q41 42B20 35J10 PDFBibTeX XMLCite \textit{J. Bourgain}, Proc. Steklov Inst. Math. 280, 46--60 (2013; Zbl 1291.35253) Full Text: DOI arXiv
Bourgain, J. Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces. (English) Zbl 1271.42039 Isr. J. Math. 193, 441-458 (2013). Reviewer: Yang Dachun (Beijing) MSC: 42C05 PDFBibTeX XMLCite \textit{J. Bourgain}, Isr. J. Math. 193, 441--458 (2013; Zbl 1271.42039) Full Text: DOI arXiv
Bourgain, Jean; Guth, Larry Bounds on oscillatory integral operators based on multilinear estimates. (English) Zbl 1237.42010 Geom. Funct. Anal. 21, No. 6, 1239-1295 (2011). Reviewer: Yang Dachun (Beijing) MSC: 42B20 47A30 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{L. Guth}, Geom. Funct. Anal. 21, No. 6, 1239--1295 (2011; Zbl 1237.42010) Full Text: DOI arXiv
Bourgain, Jean; Guth, Lawrence Bounds on oscillatory integral operators. (English. Abridged French version) Zbl 1210.42024 C. R., Math., Acad. Sci. Paris 349, No. 3-4, 137-141 (2011). MSC: 42B20 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{L. Guth}, C. R., Math., Acad. Sci. Paris 349, No. 3--4, 137--141 (2011; Zbl 1210.42024) Full Text: DOI
Bourgain, Jean; Clozel, Laurent; Kahane, Jean-Pierre The Heisenberg principle and positive functions. (Principe d’Heisenberg et fonctions positives.) (French. English summary) Zbl 1298.11105 Ann. Inst. Fourier 60, No. 4, 1215-1232 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11R42 42A38 42B10 PDFBibTeX XMLCite \textit{J. Bourgain} et al., Ann. Inst. Fourier 60, No. 4, 1215--1232 (2010; Zbl 1298.11105) Full Text: DOI Numdam EuDML
Bourgain, Jean; Kahane, Jean-Pierre Fourier series of continuous unimodular functions. (Sur les séries de Fourier des fonctions continues unimodulaires.) (French. English summary) Zbl 1196.42004 Ann. Inst. Fourier 60, No. 4, 1201-1214 (2010). Reviewer: Vladimir Mityushev (Paris) MSC: 42A16 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{J.-P. Kahane}, Ann. Inst. Fourier 60, No. 4, 1201--1214 (2010; Zbl 1196.42004) Full Text: DOI arXiv Numdam EuDML
Bombieri, Enrico; Bourgain, Jean On Kahane’s ultraflat polynomials. (English) Zbl 1170.42001 J. Eur. Math. Soc. (JEMS) 11, No. 3, 627-703 (2009). Reviewer: Tom Sanders (Cambridge) MSC: 42A05 PDFBibTeX XMLCite \textit{E. Bombieri} and \textit{J. Bourgain}, J. Eur. Math. Soc. (JEMS) 11, No. 3, 627--703 (2009; Zbl 1170.42001) Full Text: DOI Link
Bourgain, Jean; Clozel, Laurent; Kahane, Jean-Pierre Principe d’Heisenberg et fonctions positives. arXiv:0811.4360 Preprint, arXiv:0811.4360 [math.CA] (2008). MSC: 42A05 42A38 42B10 11R42 BibTeX Cite \textit{J. Bourgain} et al., ``Principe d'Heisenberg et fonctions positives'', Preprint, arXiv:0811.4360 [math.CA] (2008) Full Text: arXiv OA License
Bourgain, Jean; Kozma, Gady One cannot hear the winding number. (English) Zbl 1134.42301 J. Eur. Math. Soc. (JEMS) 9, No. 4, 637-658 (2007). MSC: 42A16 42A61 37E10 55M25 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{G. Kozma}, J. Eur. Math. Soc. (JEMS) 9, No. 4, 637--658 (2007; Zbl 1134.42301) Full Text: DOI arXiv Link
Bourgain, Jean A new approach to spectral gap problems. (English) Zbl 1130.22006 Gesztesy, Fritz (ed.) et al., Spectral theory and mathematical physics. A festschrift in honor of Barry Simon’s 60th birthday. Ergodic Schrödinger operators, singular spectrum, orthogonal polynomials, and inverse spectral theory. Based on the SimonFest conference, Pasadena, CA, USA, March 27–31, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4249-2/pt.2; 978-0-8218-3783-2/set). Proceedings of Symposia in Pure Mathematics 76, Pt. 2, 499-504 (2007). Reviewer: Christian Pierre (Louvain-la-Neuve) MSC: 22E45 42A38 54H15 81Q30 PDFBibTeX XMLCite \textit{J. Bourgain}, Proc. Symp. Pure Math. 76, 499--504 (2007; Zbl 1130.22006)
Bourgain, Jean; Brezis, Haïm New estimates for elliptic equations and Hodge type systems. (English) Zbl 1176.35061 J. Eur. Math. Soc. (JEMS) 9, No. 2, 277-315 (2007). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J48 42B20 42B25 46E35 58A10 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{H. Brezis}, J. Eur. Math. Soc. (JEMS) 9, No. 2, 277--315 (2007; Zbl 1176.35061) Full Text: DOI Link Link
Bourgain, Jean; Brezis, Haïm On the equation \(\operatorname{div}Y=f\) and application to control of phases. (English) Zbl 1075.35006 J. Am. Math. Soc. 16, No. 2, 393-426 (2003). MSC: 35F05 35B10 35F15 42B05 47N20 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{H. Brezis}, J. Am. Math. Soc. 16, No. 2, 393--426 (2003; Zbl 1075.35006) Full Text: DOI
Bourgain, J. On the distribution of the Fourier spectrum of Boolean functions. (English) Zbl 1021.43004 Isr. J. Math. 131, 269-276 (2002). Reviewer: Gabriele Steidl (Mannheim) MSC: 43A75 42C10 42A38 PDFBibTeX XMLCite \textit{J. Bourgain}, Isr. J. Math. 131, 269--276 (2002; Zbl 1021.43004) Full Text: DOI
Bourgain, J.; Kostyukovsky, S.; Olevskiĭ, A. A remark on a maximal operator for Fourier multipliers. (English) Zbl 1022.42004 Real Anal. Exch. 26(2000-2001), No. 2, 901-904 (2001). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 42A45 PDFBibTeX XMLCite \textit{J. Bourgain} et al., Real Anal. Exch. 26, No. 2, 901--904 (2001; Zbl 1022.42004)
Bourgain, Jean \(\Lambda_p\)-sets in analysis: Results, problems and related aspects. (English) Zbl 1016.43004 Johnson, W. B. (ed.) et al., Handbook of the geometry of Banach spaces. Volume 1. Amsterdam: Elsevier. 195-232 (2001). Reviewer: Daniel Li (Lens) MSC: 43A46 46B09 11B05 11L40 11M41 35Q55 42B20 42B25 42C15 43A50 58J50 PDFBibTeX XMLCite \textit{J. Bourgain}, in: Handbook of the geometry of Banach spaces. Volume 1. Amsterdam: Elsevier. 195--232 (2001; Zbl 1016.43004)
Berkson, Earl; Bourgain, Jean; Pełczynski, Aleksander; Wojciechowski, Michał Canonical Sobolev projections of weak type \((1,1)\). (English) Zbl 0990.42005 Mem. Am. Math. Soc. 714, 75 p. (2001). Reviewer: Joseph Lakey (Las Cruces) MSC: 42B15 46E35 46E30 42B10 46F10 PDFBibTeX XMLCite \textit{E. Berkson} et al., Canonical Sobolev projections of weak type \((1,1)\). Providence, RI: American Mathematical Society (AMS) (2001; Zbl 0990.42005) Full Text: DOI
Bourgain, Jean Harmonic analysis and combinatorics: How much may they contribute to each other? (English) Zbl 0963.42001 Arnold, V. (ed.) et al., Mathematics: frontiers and perspectives. Providence, RI: American Mathematical Society (AMS). 13-32 (2000). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 42-02 42B20 05-02 05C65 05C80 42A38 43-03 11B25 05-03 01A65 PDFBibTeX XMLCite \textit{J. Bourgain}, in: Mathematics: frontiers and perspectives. Providence, RI: American Mathematical Society (AMS). 13--32 (2000; Zbl 0963.42001)
Friedgut, Ehud [Bourgain, Jean] Sharp thresholds of graph properties, and the \(k\)-SAT problem (with an appendix by Jean Bourgain). (English) Zbl 0932.05084 J. Am. Math. Soc. 12, No. 4, 1017-1054 (1999). Reviewer: Ove Frank (Stockholm) MSC: 05C80 42C10 PDFBibTeX XMLCite \textit{E. Friedgut}, J. Am. Math. Soc. 12, No. 4, 1017--1054 (1999; Zbl 0932.05084) Full Text: DOI
Bourgain, Jean Analysis, results and problems related to lattice points on surfaces. (English) Zbl 0884.42007 Harper, Lawrence H. (ed.) et al., Harmonic analysis and nonlinear differential equations. A volume in honor of Victor L. Shapiro. Proceedings of a conference, Riverside, CA, USA, November 3–5, 1995. Providence, RI: American Mathematical Society. Contemp. Math. 208, 85-109 (1997). Reviewer: N.Jacob (Erlangen) MSC: 42B05 11P21 35J60 35J10 11L07 PDFBibTeX XMLCite \textit{J. Bourgain}, Contemp. Math. 208, 85--109 (1997; Zbl 0884.42007)
Bourgain, Jean Spherical summation and uniqueness of multiple trigonometric series. (English) Zbl 0852.42004 Int. Math. Res. Not. 1996, No. 3, 93-107 (1996). Reviewer: F.Móricz (Szeged) MSC: 42B08 42A05 PDFBibTeX XMLCite \textit{J. Bourgain}, Int. Math. Res. Not. 1996, No. 3, 93--107 (1996; Zbl 0852.42004) Full Text: DOI
Bourgain, Jean Some new estimates on oscillatory integrals. (English) Zbl 0840.42007 Fefferman, Charles (ed.) et al., Essays on Fourier analysis in honor of Elias M. Stein. Proceedings of the Princeton conference on harmonic analysis held at Princeton Univ., Princeton, NJ, USA, May 13-17, 1991 in honor of Elias M. Stein’s 60th birthday. Princeton, NJ: Princeton Univ. Press. Princeton Math. Ser. 42, 83-112 (1995). Reviewer: M.Milman (Boca Raton) MSC: 42B15 42B20 PDFBibTeX XMLCite \textit{J. Bourgain}, Princeton Math. Ser. 42, 83--112 (1995; Zbl 0840.42007)
Bourgain, Jean Remarks on Halasz-Montgomery type inequalities. (English) Zbl 0882.11050 Lindenstrauss, J. (ed.) et al., Geometric aspects of functional analysis. Israel seminar (GAFA) 1992-94. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 77, 25-39 (1995). Reviewer: M.Jutila (Turku) MSC: 11M26 42A05 PDFBibTeX XMLCite \textit{J. Bourgain}, in: Geometric aspects of functional analysis. Israel seminar (GAFA) 1992-94. Basel: Birkhäuser. 25--39 (1995; Zbl 0882.11050)
Asmar, Nakhlé; Berkson, Earl; Bourgain, Jean Restrictions from \(\mathbb{R}^ n\) to \(\mathbb{Z}^ n\) of weak type \((1,1)\) multipliers. (English) Zbl 0827.42008 Stud. Math. 108, No. 3, 291-299 (1994). Reviewer: A.Seeger (Madison) MSC: 42B15 42B25 PDFBibTeX XMLCite \textit{N. Asmar} et al., Stud. Math. 108, No. 3, 291--299 (1994; Zbl 0827.42008) Full Text: DOI EuDML
Bourgain, Jean On the Cauchy and invariant measure problem for the periodic Zakharov system. (English) Zbl 0821.35120 Duke Math. J. 76, No. 1, 175-202 (1994). Reviewer: L.Vazquez (Madrid) MSC: 35Q53 35A05 42A38 PDFBibTeX XMLCite \textit{J. Bourgain}, Duke Math. J. 76, No. 1, 175--202 (1994; Zbl 0821.35120) Full Text: DOI
Bourgain, J. A harmonic analysis approach to problems in nonlinear partial differential equations. (English) Zbl 0822.35116 Joseph, A. (ed.) et al., First European congress of mathematics (ECM), Paris, France, July 6-10, 1992. Volume I: Invited lectures (Part 1). Basel: Birkhäuser. Prog. Math. 119, 423-444 (1994). Reviewer: L.Vazquez (Madrid) MSC: 35Q53 35Q55 42B05 PDFBibTeX XMLCite \textit{J. Bourgain}, Prog. Math. 119, 423--444 (1994; Zbl 0822.35116)
Bourgain, J. Convergence of ergodic averages on lattice random walks. (English) Zbl 0804.60058 Ill. J. Math. 37, No. 4, 624-636 (1993). Reviewer: S.L.Kalpazidou (Thessaloniki) MSC: 60G50 40A05 42A45 42A61 PDFBibTeX XMLCite \textit{J. Bourgain}, Ill. J. Math. 37, No. 4, 624--636 (1993; Zbl 0804.60058)
Bourgain, J. On the Cauchy problem for the Kadomtsev-Petviashvili equation. (English) Zbl 0787.35086 Geom. Funct. Anal. 3, No. 4, 315-341 (1993). Reviewer: L.Vazquez (Madrid) MSC: 35Q53 42B10 31B10 PDFBibTeX XMLCite \textit{J. Bourgain}, Geom. Funct. Anal. 3, No. 4, 315--341 (1993; Zbl 0787.35086) Full Text: DOI EuDML
Bourgain, J. Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation. (English) Zbl 0787.35098 Geom. Funct. Anal. 3, No. 3, 209-262 (1993). Reviewer: L.Vazquez (Madrid) MSC: 35Q55 42B10 PDFBibTeX XMLCite \textit{J. Bourgain}, Geom. Funct. Anal. 3, No. 3, 209--262 (1993; Zbl 0787.35098) Full Text: DOI EuDML
Bourgain, J. Exponential sums and nonlinear Schrödinger equations. (English) Zbl 0787.35096 Geom. Funct. Anal. 3, No. 2, 157-178 (1993). Reviewer: L.Vazquez (Madrid) MSC: 35Q55 42B10 PDFBibTeX XMLCite \textit{J. Bourgain}, Geom. Funct. Anal. 3, No. 2, 157--178 (1993; Zbl 0787.35096) Full Text: DOI EuDML
Bourgain, J. Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations. (English) Zbl 0787.35097 Geom. Funct. Anal. 3, No. 2, 107-156 (1993). Reviewer: L.Vazquez (Madrid) MSC: 35Q55 42B10 31B10 PDFBibTeX XMLCite \textit{J. Bourgain}, Geom. Funct. Anal. 3, No. 2, 107--156 (1993; Zbl 0787.35097) Full Text: DOI EuDML
Bourgain, J. \(L^p\)-estimates for oscillatory integrals in several variables. (English) Zbl 0756.42013 Geom. Funct. Anal. 1, No. 4, 321-374 (1991). Reviewer: M. Milman (Boca Raton) MSC: 42B15 PDFBibTeX XMLCite \textit{J. Bourgain}, Geom. Funct. Anal. 1, No. 4, 321--374 (1991; Zbl 0756.42013) Full Text: DOI EuDML
Bourgain, J. Besicovitch type maximal operators and applications to Fourier analysis. (English) Zbl 0756.42014 Geom. Funct. Anal. 1, No. 2, 147-187 (1991). Reviewer: M.Milman (Boca Raton) MSC: 42B25 42B15 42B10 42B08 PDFBibTeX XMLCite \textit{J. Bourgain}, Geom. Funct. Anal. 1, No. 2, 147--187 (1991; Zbl 0756.42014) Full Text: DOI EuDML
Bourgain, Jean On the restriction and multiplier problems in \(R^ 3\). (English) Zbl 0792.42004 Geometric aspects of functional analysis, Proc. Isr. Semin., GAFA, Isr. 1989-90, Lect. Notes Math. 1469, 179-191 (1991). Reviewer: D.S.Kurtz (Las Cruces) MSC: 42B15 PDFBibTeX XMLCite \textit{J. Bourgain}, Lect. Notes Math. 1469, 179--191 (1991; Zbl 0792.42004)
Bourgain, J. Problems of almost everywhere convergence related to harmonic analysis and number theory. (English) Zbl 0743.42003 Isr. J. Math. 71, No. 1, 97-127 (1990). Reviewer: D.C.Russell (Toronto) MSC: 42A20 11K70 42A61 PDFBibTeX XMLCite \textit{J. Bourgain}, Isr. J. Math. 71, No. 1, 97--127 (1990; Zbl 0743.42003) Full Text: DOI
Bourgain, J. On the behavior of the constant in the Littlewood-Paley inequality. (English) Zbl 0706.42008 Geometric aspects of functional analysis, Isr. Semin., GAFA, Isr. 1987-88, Lect. Notes Math. 1376, 202-208 (1989). Reviewer: L.Goras MSC: 42A45 42B25 47A30 PDFBibTeX XML
Bourgain, Jean [Furstenberg, Harry; Katznelson, Yitzhak; Ornstein, Donald S.] Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein. (English) Zbl 0705.28008 Publ. Math., Inst. Hautes Étud. Sci. 69, 5-45 (1989). Reviewer: H.Rindler MSC: 28D05 11L07 11N25 42A45 60G42 60J70 PDFBibTeX XMLCite \textit{J. Bourgain}, Publ. Math., Inst. Hautes Étud. Sci. 69, 5--45 (1989; Zbl 0705.28008) Full Text: DOI Numdam EuDML
Bourgain, J. On \(\Lambda\) (p)-subsets of squares. (English) Zbl 0692.43005 Isr. J. Math. 67, No. 3, 291-311 (1989). Reviewer: S.Hartman MSC: 43A46 11L40 11K06 43A15 42A05 11K55 42C05 PDFBibTeX XMLCite \textit{J. Bourgain}, Isr. J. Math. 67, No. 3, 291--311 (1989; Zbl 0692.43005) Full Text: DOI
Bourgain, J. A remark on the maximal function associated to an analytic vector field. (English) Zbl 0692.42006 Analysis at Urbana. Vol. 1: Analysis in function spaces, Proc. Spec. Year Mod. Anal./Ill. 1986-87, Lond. Math. Soc. Lect. Note Ser. 137, 111-132 (1989). Reviewer: J.Ljubarsky MSC: 42B25 42A50 PDFBibTeX XML
Bourgain, J. On Kolmogorov’s rearrangement problem for orthogonal systems and Garsia’s conjecture. (English) Zbl 0685.40001 Geometric aspects of functional analysis, Isr. Semin., GAFA, Isr. 1987-88, Lect. Notes Math. 1376, 209-250 (1989). Reviewer: L.Gatteschi MSC: 40A05 42C15 42C20 PDFBibTeX XML
Bourgain, J. Bounded orthogonal systems and the \(\Lambda\) (p)-set problem. (English) Zbl 0674.43004 Acta Math. 162, No. 3-4, 227-245 (1989). Reviewer: D.Müller MSC: 43A46 42C05 46B15 PDFBibTeX XMLCite \textit{J. Bourgain}, Acta Math. 162, No. 3--4, 227--245 (1989; Zbl 0674.43004) Full Text: DOI
Bourgain, J. A nonlinear version of Roth’s theorem for sets of positive density in the real line. (English) Zbl 0675.42010 J. Anal. Math. 50, 169-181 (1988). Reviewer: S.M.Mazhar MSC: 42A38 11B83 PDFBibTeX XMLCite \textit{J. Bourgain}, J. Anal. Math. 50, 169--181 (1988; Zbl 0675.42010) Full Text: DOI
Bourgain, J. On the pointwise ergodic theorem on \(L^ p\) for arithmetic sets. (English) Zbl 0642.28011 Isr. J. Math. 61, No. 1, 73-84 (1988). Reviewer: H.Rindler MSC: 28D05 11L40 42A05 11K06 60F99 PDFBibTeX XMLCite \textit{J. Bourgain}, Isr. J. Math. 61, No. 1, 73--84 (1988; Zbl 0642.28011) Full Text: DOI Backlinks: MO
Bourgain, J. On the maximal ergodic theorem for certain subsets of the integers. (English) Zbl 0642.28010 Isr. J. Math. 61, No. 1, 39-72 (1988). Reviewer: H.Rindler MSC: 28D05 11L40 42A05 11K06 42B25 PDFBibTeX XMLCite \textit{J. Bourgain}, Isr. J. Math. 61, No. 1, 39--72 (1988; Zbl 0642.28010) Full Text: DOI
Bourgain, Jean Théorèmes ergodiques ponctuels pour certains ensembles arithmétiques. (On pointwise ergodic theorems for some arithmetic sets). (French) Zbl 0634.28008 C. R. Acad. Sci., Paris, Sér. I 305, 397-402 (1987). Reviewer: V.Losert MSC: 28D05 11K06 47A35 42B25 11L03 PDFBibTeX XMLCite \textit{J. Bourgain}, C. R. Acad. Sci., Paris, Sér. I 305, 397--402 (1987; Zbl 0634.28008)
Bourgain, J. A remark on entropy of abelian groups and the invariant uniform approximation property. (English) Zbl 0628.43003 Stud. Math. 86, 79-84 (1987). Reviewer: B.B.Wells jun MSC: 43A25 42A16 43A70 PDFBibTeX XMLCite \textit{J. Bourgain}, Stud. Math. 86, 79--84 (1987; Zbl 0628.43003) Full Text: DOI EuDML
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. On the dichotomy problem for tensor algebras. (English) Zbl 0643.43004 Trans. Am. Math. Soc. 293, 793-798 (1986). Reviewer: M.Bożejko MSC: 43A46 42A55 43A10 43A25 PDFBibTeX XMLCite \textit{J. Bourgain}, Trans. Am. Math. Soc. 293, 793--798 (1986; Zbl 0643.43004) Full Text: DOI
Bourgain, J. Averages in the plane over convex curves and maximal operators. (English) Zbl 0626.42012 J. Anal. Math. 47, 69-85 (1986). Reviewer: M.Milman MSC: 42B25 PDFBibTeX XMLCite \textit{J. Bourgain}, J. Anal. Math. 47, 69--85 (1986; Zbl 0626.42012) Full Text: DOI
Bourgain, J. On high dimensional maximal functions associated to convex bodies. (English) Zbl 0621.42015 Am. J. Math. 108, 1467-1476 (1986). Reviewer: M.Milman MSC: 42B25 PDFBibTeX XMLCite \textit{J. Bourgain}, Am. J. Math. 108, 1467--1476 (1986; Zbl 0621.42015) Full Text: DOI
Bourgain, J. On the \(L^ p\)-bounds for maximal functions associated to convex bodies in \({\mathbb{R}}^ n\). (English) Zbl 0616.42013 Isr. J. Math. 54, 257-265 (1986). Reviewer: S.G.Krantz MSC: 42B25 31B99 PDFBibTeX XMLCite \textit{J. Bourgain}, Isr. J. Math. 54, 257--265 (1986; Zbl 0616.42013) Full Text: DOI
Bourgain, J. On the minimum of a sum of cosines. (Sur le minimum d’une somme de cosinus.) (French) Zbl 0615.42001 Acta Arith. 45, 381-389 (1985). Reviewer: Borislav Crstici (Timişoara) MSC: 11L03 42A05 42A32 PDFBibTeX XMLCite \textit{J. Bourgain}, Acta Arith. 45, 381--389 (1986; Zbl 0615.42001) Full Text: DOI EuDML
Bourgain, J.; Sato, H. A direct proof of van der Vaart’s theorem. (English) Zbl 0614.42004 Stud. Math. 84, 125-131 (1986). Reviewer: S.P.Goyal MSC: 42A38 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{H. Sato}, Stud. Math. 84, 125--131 (1986; Zbl 0614.42004) Full Text: DOI EuDML
Bourgain, Jean Vector-valued singular integrals and the \(H^ 1\)-BMO duality. (English) Zbl 0602.42015 Probability theory and harmonic analysis, Pap. Mini-Conf., Cleveland/Ohio 1983, Pure Appl. Math., Marcel Dekker 98, 1-19 (1986). Reviewer: R.Srivastava MSC: 42A50 PDFBibTeX XML
Bourgain, J. On square functions on the trigonometric system. (English) Zbl 0613.42015 Bull. Soc. Math. Belg., Sér. B 37, No. 1, 20-26 (1985). Reviewer: S.G.Krantz MSC: 42B25 PDFBibTeX XMLCite \textit{J. Bourgain}, Bull. Soc. Math. Belg., Sér. B 37, No. 1, 20--26 (1985; Zbl 0613.42015)
Bourgain, J. On high dimensional maximal functions associated to convex bodies. (English) Zbl 0609.42016 Publ. Math. Univ. Pierre Marie Curie 78, Semin. Initiation Anal. 24e Année: 1984/85, Exp. No. 18, 12 p. (1985). Reviewer: A.Zabulionis MSC: 42B25 PDFBibTeX XML
Bourgain, J. On the spherical maximal function in the plane. (English) Zbl 0608.42014 Publ. Math. Univ. Pierre Marie Curie 78, Semin. Initiation Anal. 24e Année: 1984/85, Exp. No. 7, 22 p. (1985). MSC: 42B25 PDFBibTeX XML
Bourgain, J. Subspaces of \(\ell _ N^{\infty}\), arithmetical diameter and Sidon sets. (English) Zbl 0583.43008 Probability in Banach spaces V, Proc. 5th Int. Conf., Medford/Mass. 1984, Lect. Notes Math. 1153, 96-127 (1985). Reviewer: G.Pisier MSC: 43A46 46B99 43A10 42A55 46H99 PDFBibTeX XML
Bourgain, J. On bases in the disc algebra. (English) Zbl 0574.46040 Trans. Am. Math. Soc. 285, 133-139 (1984). Reviewer: T.V.Tonev MSC: 46J15 46B15 42B30 PDFBibTeX XMLCite \textit{J. Bourgain}, Trans. Am. Math. Soc. 285, 133--139 (1984; Zbl 0574.46040) Full Text: DOI
Bourgain, J. Bilinear forms on \(H^{\infty}\) and bounded bianalytic functions. (English) Zbl 0572.46048 Trans. Am. Math. Soc. 286, 313-337 (1984). Reviewer: T.Tonev MSC: 46J15 46E30 32A35 42B30 PDFBibTeX XMLCite \textit{J. Bourgain}, Trans. Am. Math. Soc. 286, 313--337 (1984; Zbl 0572.46048) Full Text: DOI
Bourgain, J. On martingales transforms in finite dimensional lattices with an appendix on the k-convexity constant. (English) Zbl 0568.42010 Math. Nachr. 119, 41-53 (1984). Reviewer: H.Leptin MSC: 42B20 42B25 46B42 PDFBibTeX XMLCite \textit{J. Bourgain}, Math. Nachr. 119, 41--53 (1984; Zbl 0568.42010) Full Text: DOI
Bourgain, J. \(\ell^1\) sequences generated by Sidon sets. (English) Zbl 0553.43002 J. Lond. Math. Soc., II. Ser. 29, 283-288 (1984). Reviewer: G. Pisier (Paris) MSC: 43A46 42C10 PDFBibTeX XMLCite \textit{J. Bourgain}, J. Lond. Math. Soc., II. Ser. 29, 283--288 (1984; Zbl 0553.43002) Full Text: DOI
Bourgain, Jean On the minimum of certain cosine sums. (Sur le minimum de certaines sommes de cosinus.) (French) Zbl 0553.10029 Publ. Math. Orsay 84-01, Exp. No. 2, 7 p. (1984). Reviewer: H. N. Mhaskar MSC: 11L03 42A05 42A32 PDFBibTeX XML
Bourgain, J. Quelques propriétés linéaires topologiques de l’espace des séries de Fourier uniformement convergentes. (French) Zbl 0571.46033 Publ. Math. Univ. Pierre Marie Curie 22e Année: 1982/83, No. 59, Exp. No. 14, 16 p. (1983). Reviewer: F.Haslinger MSC: 46J15 46A45 42A16 PDFBibTeX XML
Bourgain, J. Some remarks on Banach spaces in which martingale difference sequences are unconditional. (English) Zbl 0533.46008 Ark. Mat. 21, 163-168 (1983). MSC: 46B42 46B10 60G46 46E40 46B15 42A50 PDFBibTeX XMLCite \textit{J. Bourgain}, Ark. Mat. 21, 163--168 (1983; Zbl 0533.46008) Full Text: DOI
Bourgain, Jean Sur les sommes de sinus. (French) Zbl 0532.42002 Publ. Math. Orsay 83-01, Exp. No. 3, 9 p. (1983). Reviewer: M.Mikolas MSC: 42A05 44A15 46E40 PDFBibTeX XML
Bourgain, Jean Quelques propriétés linéaires de l’espace des séries de Fourier uniformement convergentes. (French) Zbl 0504.42004 C. R. Acad. Sci., Paris, Sér. I 295, 623-625 (1982). MSC: 42A20 PDFBibTeX XMLCite \textit{J. Bourgain}, C. R. Acad. Sci., Paris, Sér. I 295, 623--625 (1982; Zbl 0504.42004)
Bourgain, J. On trigonometric sums with prime frequences. (English) Zbl 0483.10042 Bull. Soc. Math. Belg., Sér. B 33, 289-294 (1981). MSC: 11P55 11P32 42A45 PDFBibTeX XMLCite \textit{J. Bourgain}, Bull. Soc. Math. Belg., Sér. B 33, 289--294 (1981; Zbl 0483.10042)
Bourgain, J. On trigonometric series in super reflexive spaces. (English) Zbl 0475.46008 J. Lond. Math. Soc., II. Ser. 24, 165-174 (1981). MSC: 46B10 42B05 46B15 PDFBibTeX XMLCite \textit{J. Bourgain}, J. Lond. Math. Soc., II. Ser. 24, 165--174 (1981; Zbl 0475.46008) Full Text: DOI