Edit Profile (opens in new tab) Fournier, John J. F. Co-Author Distance Author ID: fournier.john-j-f Published as: Fournier, John J. F.; Fournier, John; Fournier, J. J. F.; Fournier, J. more...less Homepage: https://personal.math.ubc.ca/~fournier/index.html External Links: MGP · Wikidata · Google Scholar · IdRef Documents Indexed: 47 Publications since 1969, including 1 Book and 7 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 17 Co-Authors with 25 Joint Publications 325 Co-Co-Authors all top 5 Co-Authors 23 single-authored 5 Adams, Robert Alexander 4 Aubertin, Bruce 4 Bloom, Walter R. 2 Cowling, Michael G. 2 Leinert, Michael 1 Blei, Ron C. 1 Dlab, Vlastimil 1 Duff, George Francis Denton 1 Fendler, Gero 1 Gauthier, Paul M. 1 Pigno, Louis 1 Ross, Kenneth Allen 1 Russo, Bernard 1 Self, William M. 1 Stewart, James Drewry 1 Vrecko, Dean 1 Wagner, Bradley G. all top 5 Serials 3 Journal of Mathematical Analysis and Applications 2 Studia Mathematica 2 Canadian Journal of Mathematics 2 Canadian Mathematical Bulletin 2 Colloquium Mathematicum 2 Pacific Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Journal of the Australian Mathematical Society. Series A 1 Analysis Mathematica 1 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Acta Mathematica Hungarica 1 Bulletin of the American Mathematical Society. New Series 1 Bollettino della Unione Matemàtica Italiana. Serie VII. B 1 Proceedings of the Cambridge Philosophical Society 1 Pure and Applied Mathematics (Academic Press) 1 Annals of Functional Analysis all top 5 Fields 27 Harmonic analysis on Euclidean spaces (42-XX) 20 Abstract harmonic analysis (43-XX) 12 Functional analysis (46-XX) 4 Operator theory (47-XX) 3 Functions of a complex variable (30-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 37 Publications have been cited 3,903 times in 3,850 Documents Cited by ▼ Year ▼ Sobolev spaces. 2nd ed. Zbl 1098.46001 Adams, Robert A.; Fournier, John J. F. 3,315 2003 Real interpolation of Sobolev spaces on subdomains of \(R^N\). Zbl 0347.46040 Adams, R. A.; Fournier, J. J. F. 221 1978 Amalgams of \(L^ p\) and \(l^ q\). Zbl 0593.43005 Fournier, John J. F.; Stewart, James 127 1985 Cone conditions and properties of Sobolev spaces. Zbl 0385.46024 Adams, R. A.; Fournier, John 54 1977 Sharpness in Young’s inequality for convolution. Zbl 0343.43005 Fournier, John J. F. 26 1977 Mixed norms and rearrangements: Sobolev’s inequality and Littlewood’s inequality. Zbl 0639.46034 Fournier, John J. F. 24 1987 Inclusions and noninclusion of spaces of convolution operators. Zbl 0331.43007 Cowling, Michael G.; Fournier, John J. F. 14 1976 Some imbedding theorems for Sobolev spaces. Zbl 0201.16301 Adams, R. A.; Fournier, John 13 1971 Integrability theorems for trigonometric series. Zbl 0809.42001 Aubertin, Bruce; Fournier, John J. F. 10 1993 An interpolation problem for coefficients of \(H^\infty\) functions. Zbl 0288.30032 Fournier, John J. F. 8 1974 On the Hausdorff-Young theorem for amalgams. Zbl 0502.43002 Fournier, John J. F. 8 1983 On a theorem of Paley and the Littlewood conjecture. Zbl 0513.42001 Fournier, John J. F. 8 1979 Abstract interpolation and operator-valued kernels. Zbl 0373.47026 Fournier, John J. F.; Russo, Bernard 7 1977 Majorants and L\(^p\) norms. Zbl 0291.43006 Fournier, John J. F. 6 1974 Mixed-norm conditions and Lorentz norms. Zbl 0691.46014 Blei, Ron C.; Fournier, John J. F. 6 1989 Analytic and arithmetic properties of thin sets. Zbl 0491.43006 Fournier, John J. F.; Pigno, Louis 6 1983 Random Fourier series on compact Abelian hypergroups. Zbl 0576.43004 Fournier, John J. F.; Ross, Kenneth A. 5 1984 Local complements to the Hausdorff-Young theorem. Zbl 0265.43005 Fournier, John J. F. 4 1973 Canadian Mathematical Society 1945–1995. Vol. 2: Selecta: Canadian Journal Mathematics. Canadian Mathematical Bulletin. Zbl 0955.00030 4 1996 Some sufficient conditions for uniform convergence of Fourier series. Zbl 0639.42002 Fournier, John J. F.; Self, William M 3 1987 A compact imbedding theorem for functions without compact support. Zbl 0219.46031 Adams, R. A.; Fournier, J. 3 1971 Extensions of a Fourier multiplier theorem of Paley. Zbl 0197.11603 Fournier, John 3 1969 Local and global properties of functions and their Fourier transforms. Zbl 0878.42006 Fournier, John J. F. 3 1997 Some remarks on the recent proofs of the Littlewood conjecture. Zbl 0543.42010 Fournier, John J. F. 3 1983 Smoothness conditions and integrability theorems of bounded Vilenkin groups. Zbl 0653.42030 Bloom, Walter R.; Fournier, John J. F. 2 1988 Variants of Littlewood-Paley theory. Zbl 0662.43003 Cowling, Michael; Fendler, Gero; Fournier, John J. F. 2 1989 Generalized Lipschitz spaces on Vilenkin groups. Zbl 0625.43010 Bloom, Walter R.; Fournier, John J. F. 2 1987 Integrability of multiple series. Zbl 0807.42005 Aubertin, Bruce; Fournier, John J. F. 2 1994 Uniformizable \(\Lambda(2)\) sets and uniform integrability. Zbl 0663.42014 Fournier, John J. F. 1 1987 Lacunarity for amalgams. Zbl 0628.43007 Fournier, John J. F. 1 1987 Fourier coefficients after gaps. Zbl 0265.43004 Fournier, John 1 1973 Multilinear Grothendieck inequalities via the Schur algorithm. Zbl 0561.43005 Fournier, John J. F. 1 1981 Random Fourier-Stieltjes transforms on partially ordered groups. Zbl 0194.16301 Fournier, John 1 1970 Hardy and Paley inequalities for fully-odd Vilenkin systems. Zbl 0928.42010 Fournier, J. J. F. 1 1997 An integrability theorem for Walsh series. Zbl 0812.42015 Aubertin, Bruce; Fournier, John J. F. 1 1994 Extensions of a Fourier multiplier theorem of Paley, II. Zbl 0472.42005 Fournier, John J. F. 1 1979 Two UC-sets whose union is not a UC-set. Zbl 0511.43003 Fournier, John J. F. 1 1982 Sobolev spaces. 2nd ed. Zbl 1098.46001 Adams, Robert A.; Fournier, John J. F. 3,315 2003 Local and global properties of functions and their Fourier transforms. Zbl 0878.42006 Fournier, John J. F. 3 1997 Hardy and Paley inequalities for fully-odd Vilenkin systems. Zbl 0928.42010 Fournier, J. J. F. 1 1997 Canadian Mathematical Society 1945–1995. Vol. 2: Selecta: Canadian Journal Mathematics. Canadian Mathematical Bulletin. Zbl 0955.00030 4 1996 Integrability of multiple series. Zbl 0807.42005 Aubertin, Bruce; Fournier, John J. F. 2 1994 An integrability theorem for Walsh series. Zbl 0812.42015 Aubertin, Bruce; Fournier, John J. F. 1 1994 Integrability theorems for trigonometric series. Zbl 0809.42001 Aubertin, Bruce; Fournier, John J. F. 10 1993 Mixed-norm conditions and Lorentz norms. Zbl 0691.46014 Blei, Ron C.; Fournier, John J. F. 6 1989 Variants of Littlewood-Paley theory. Zbl 0662.43003 Cowling, Michael; Fendler, Gero; Fournier, John J. F. 2 1989 Smoothness conditions and integrability theorems of bounded Vilenkin groups. Zbl 0653.42030 Bloom, Walter R.; Fournier, John J. F. 2 1988 Mixed norms and rearrangements: Sobolev’s inequality and Littlewood’s inequality. Zbl 0639.46034 Fournier, John J. F. 24 1987 Some sufficient conditions for uniform convergence of Fourier series. Zbl 0639.42002 Fournier, John J. F.; Self, William M 3 1987 Generalized Lipschitz spaces on Vilenkin groups. Zbl 0625.43010 Bloom, Walter R.; Fournier, John J. F. 2 1987 Uniformizable \(\Lambda(2)\) sets and uniform integrability. Zbl 0663.42014 Fournier, John J. F. 1 1987 Lacunarity for amalgams. Zbl 0628.43007 Fournier, John J. F. 1 1987 Amalgams of \(L^ p\) and \(l^ q\). Zbl 0593.43005 Fournier, John J. F.; Stewart, James 127 1985 Random Fourier series on compact Abelian hypergroups. Zbl 0576.43004 Fournier, John J. F.; Ross, Kenneth A. 5 1984 On the Hausdorff-Young theorem for amalgams. Zbl 0502.43002 Fournier, John J. F. 8 1983 Analytic and arithmetic properties of thin sets. Zbl 0491.43006 Fournier, John J. F.; Pigno, Louis 6 1983 Some remarks on the recent proofs of the Littlewood conjecture. Zbl 0543.42010 Fournier, John J. F. 3 1983 Two UC-sets whose union is not a UC-set. Zbl 0511.43003 Fournier, John J. F. 1 1982 Multilinear Grothendieck inequalities via the Schur algorithm. Zbl 0561.43005 Fournier, John J. F. 1 1981 On a theorem of Paley and the Littlewood conjecture. Zbl 0513.42001 Fournier, John J. F. 8 1979 Extensions of a Fourier multiplier theorem of Paley, II. Zbl 0472.42005 Fournier, John J. F. 1 1979 Real interpolation of Sobolev spaces on subdomains of \(R^N\). Zbl 0347.46040 Adams, R. A.; Fournier, J. J. F. 221 1978 Cone conditions and properties of Sobolev spaces. Zbl 0385.46024 Adams, R. A.; Fournier, John 54 1977 Sharpness in Young’s inequality for convolution. Zbl 0343.43005 Fournier, John J. F. 26 1977 Abstract interpolation and operator-valued kernels. Zbl 0373.47026 Fournier, John J. F.; Russo, Bernard 7 1977 Inclusions and noninclusion of spaces of convolution operators. Zbl 0331.43007 Cowling, Michael G.; Fournier, John J. F. 14 1976 An interpolation problem for coefficients of \(H^\infty\) functions. Zbl 0288.30032 Fournier, John J. F. 8 1974 Majorants and L\(^p\) norms. Zbl 0291.43006 Fournier, John J. F. 6 1974 Local complements to the Hausdorff-Young theorem. Zbl 0265.43005 Fournier, John J. F. 4 1973 Fourier coefficients after gaps. Zbl 0265.43004 Fournier, John 1 1973 Some imbedding theorems for Sobolev spaces. Zbl 0201.16301 Adams, R. A.; Fournier, John 13 1971 A compact imbedding theorem for functions without compact support. Zbl 0219.46031 Adams, R. A.; Fournier, J. 3 1971 Random Fourier-Stieltjes transforms on partially ordered groups. Zbl 0194.16301 Fournier, John 1 1970 Extensions of a Fourier multiplier theorem of Paley. Zbl 0197.11603 Fournier, John 3 1969 all cited Publications top 5 cited Publications all top 5 Cited by 5,099 Authors 51 Wang, Hong 47 Zheng, Xiangcheng 35 Brenner, Susanne Cecelia 32 Sung, Li-Yeng 30 Yang, Huaijun 29 Yao, Fengping 26 Manzini, Gianmarco 25 Hintermüller, Michael 24 Fan, Jishan 23 Gatica, Gabriel N. 19 Piṣkin, Erhan 18 Deka, Bhupen 17 Alves, Claudianor Oliveira 17 Shi, Dongyang 16 Byun, Sun-Sig 16 Jin, Bangti 16 Kumar, Naresh 15 Benes, Michal 15 He, Yinnian 15 Li, Buyang 15 Ming, Pingbing 14 Chen, Jinru 14 Taira, Kazuaki 13 Jiang, Yaolin 12 Antonietti, Paola Francesca 12 Chaumont-Frelet, Théophile 12 Chen, Wenbin 12 Mehlitz, Patrick 12 Wang, Junmin 11 Adak, Dibyendu 11 Do, Khac Duc 11 Oyarzúa, Ricardo 11 Rădulescu, Vicenţiu D. 11 Weder, Ricardo A. 11 Zhou, Zhi 10 Borzì, Alfio 10 Chlebicka, Iwona 10 Abreu Goncalves, Jose Valdo 10 Hou, Yanren 10 Mascotto, Lorenzo 10 Oliynyk, Todd Andrew 10 Sinha, Rajen Kumar 10 Toulopoulos, Ioannis 10 Yakoubi, Driss 10 Yang, Yunbo 10 Zhang, Yi 9 Balachandran, Krishnan 9 Ben Belgacem, Faker 9 Boulaaras, Salah Mahmoud 9 Cordero, Elena 9 Fournier, John J. F. 9 Garcke, Harald 9 Gesztesy, Fritz 9 Girault, Vivette 9 Jia, Jinhong 9 Langer, Ulrich 9 Li, Peijun 9 Mazzieri, Ilario 9 Nakamura, Gen 9 Rautenberg, Carlos N. 9 Yang, Danping 8 Beirão da Veiga, Lourenço 8 Carvalho, Marcos L. M. 8 Da Silva, Edcarlos Domingos 8 Do Ó, João M. Bezerra 8 Eremeyev, Victor A. 8 Feehan, Paul M. N. 8 Harfash, Akil Jassim 8 Ho, Kwok-Pun 8 Huang, Pengzhan 8 Mora, David 8 Naumkin, Ivan P. 8 Nicola, Fabio 8 Piasecki, Tomasz 8 Protas, Bartosz 8 Pucci, Patrizia 8 Quarteroni, Alfio M. 8 Ruf, Bernhard 8 Ruiz-Baier, Ricardo 8 Santos, Jefferson Abrantes 8 Steinwart, Ingo 8 Surowiec, Thomas 8 Sweers, Guido H. 8 Vazquez, Juan Luis 8 Woukeng, Jean Louis 8 Zhang, Binlin 8 Zhang, Qinghua 8 Zhao, Peihao 8 Zhou, Jianwei 8 Zhou, Shulin 7 Aydin, Ismail 7 Braga, J. Ederson M. 7 Deng, Weihua 7 Gwinner, Joachim 7 Kim, Yunho 7 Li, Fucai 7 Long, Guangqing 7 Melenk, Jens Markus 7 Pellegrino, Daniel Marinho 7 Sakthivel, Kumarasamy ...and 4,999 more Authors all top 5 Cited in 513 Serials 191 Journal of Mathematical Analysis and Applications 122 Journal of Differential Equations 101 Computers & Mathematics with Applications 91 Journal of Functional Analysis 89 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 74 Journal of Scientific Computing 73 Journal of Computational and Applied Mathematics 70 SIAM Journal on Numerical Analysis 54 SIAM Journal on Mathematical Analysis 53 Computer Methods in Applied Mechanics and Engineering 50 Numerische Mathematik 49 Applied Numerical Mathematics 47 Mathematical Methods in the Applied Sciences 46 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 41 Numerical Methods for Partial Differential Equations 40 Calculus of Variations and Partial Differential Equations 36 Journal of Computational Physics 35 SIAM Journal on Scientific Computing 34 Archive for Rational Mechanics and Analysis 32 Applied Mathematics and Computation 31 ZAMP. Zeitschrift für angewandte Mathematik und Physik 30 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 29 Communications in Mathematical Physics 29 Mathematics of Computation 29 Advances in Computational Mathematics 29 Nonlinear Analysis. Real World Applications 28 Journal of Mathematical Physics 28 Boundary Value Problems 26 Inverse Problems 26 Mathematische Nachrichten 26 NoDEA. Nonlinear Differential Equations and Applications 26 Discrete and Continuous Dynamical Systems 25 Applicable Analysis 24 Annali di Matematica Pura ed Applicata. Serie Quarta 24 Automatica 24 Applied Mathematics Letters 24 Journal of Mathematical Fluid Mechanics 23 Mathematische Annalen 23 Proceedings of the American Mathematical Society 22 Journal of Approximation Theory 22 Transactions of the American Mathematical Society 22 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 21 Communications in Nonlinear Science and Numerical Simulation 21 Journal of Evolution Equations 20 The Journal of Geometric Analysis 20 Stochastic Processes and their Applications 20 Communications on Pure and Applied Analysis 19 Potential Analysis 18 SIAM Journal on Control and Optimization 18 Journal de Mathématiques Pures et Appliquées. Neuvième Série 18 The Journal of Fourier Analysis and Applications 18 Computational Methods in Applied Mathematics 17 Calcolo 17 Discrete and Continuous Dynamical Systems. Series B 16 Applied Mathematics and Optimization 16 Numerical Algorithms 16 Journal of Nonlinear Science 16 Applied and Computational Harmonic Analysis 15 Nonlinearity 15 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 15 Communications in Contemporary Mathematics 15 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 14 Advances in Mathematics 14 Acta Applicandae Mathematicae 14 SIAM Journal on Applied Mathematics 14 Journal of Inequalities and Applications 13 Journal of Optimization Theory and Applications 13 Electronic Journal of Differential Equations (EJDE) 13 Acta Mathematica Sinica. English Series 13 Multiscale Modeling & Simulation 13 Analysis and Applications (Singapore) 13 Mediterranean Journal of Mathematics 13 Science China. Mathematics 13 Journal of Function Spaces 12 Physica D 12 Communications in Partial Differential Equations 12 Fractional Calculus & Applied Analysis 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Advances in Nonlinear Analysis 11 Rocky Mountain Journal of Mathematics 11 Mathematische Zeitschrift 11 Monatshefte für Mathematik 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 International Journal of Computer Mathematics 11 Computational and Applied Mathematics 10 Archiv der Mathematik 10 Mathematics and Computers in Simulation 10 Applications of Mathematics 10 Journal of Elasticity 10 Bernoulli 10 Foundations of Computational Mathematics 10 Communications in Computational Physics 10 Discrete and Continuous Dynamical Systems. Series S 9 Mathematical Notes 9 BIT 9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 9 Abstract and Applied Analysis 9 Positivity 9 Lobachevskii Journal of Mathematics 9 Journal of Numerical Mathematics ...and 413 more Serials all top 5 Cited in 56 Fields 2,250 Partial differential equations (35-XX) 1,140 Numerical analysis (65-XX) 638 Fluid mechanics (76-XX) 501 Functional analysis (46-XX) 371 Calculus of variations and optimal control; optimization (49-XX) 304 Operator theory (47-XX) 290 Mechanics of deformable solids (74-XX) 229 Probability theory and stochastic processes (60-XX) 227 Harmonic analysis on Euclidean spaces (42-XX) 160 Real functions (26-XX) 145 Biology and other natural sciences (92-XX) 132 Systems theory; control (93-XX) 123 Statistics (62-XX) 109 Ordinary differential equations (34-XX) 97 Approximations and expansions (41-XX) 91 Statistical mechanics, structure of matter (82-XX) 90 Quantum theory (81-XX) 86 Global analysis, analysis on manifolds (58-XX) 85 Optics, electromagnetic theory (78-XX) 75 Dynamical systems and ergodic theory (37-XX) 74 Abstract harmonic analysis (43-XX) 69 Operations research, mathematical programming (90-XX) 65 Computer science (68-XX) 64 Differential geometry (53-XX) 54 Integral equations (45-XX) 46 Classical thermodynamics, heat transfer (80-XX) 46 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 43 Potential theory (31-XX) 42 Geophysics (86-XX) 42 Information and communication theory, circuits (94-XX) 41 Functions of a complex variable (30-XX) 30 Measure and integration (28-XX) 27 Several complex variables and analytic spaces (32-XX) 26 Mechanics of particles and systems (70-XX) 23 Topological groups, Lie groups (22-XX) 22 Integral transforms, operational calculus (44-XX) 19 Relativity and gravitational theory (83-XX) 16 Special functions (33-XX) 16 Manifolds and cell complexes (57-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 Difference and functional equations (39-XX) 8 Combinatorics (05-XX) 7 Convex and discrete geometry (52-XX) 7 Astronomy and astrophysics (85-XX) 6 Number theory (11-XX) 5 Mathematical logic and foundations (03-XX) 2 History and biography (01-XX) 2 Algebraic geometry (14-XX) 2 Sequences, series, summability (40-XX) 2 General topology (54-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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