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Fournier, John J. F.

Author ID: fournier.john-j-f Recent zbMATH articles by "Fournier, John J. F."
Published as: Fournier, John J. F.; Fournier, John; Fournier, J. J. F.; Fournier, J.
Homepage: https://personal.math.ubc.ca/~fournier/index.html
External Links: MGP · Wikidata · Google Scholar · IdRef

Publications by Year

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.
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.
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
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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
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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
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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

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