×
Author ID: david.guy Recent zbMATH articles by "David, Guy"
Published as: David, Guy; David, G.
Homepage: https://www.imo.universite-paris-saclay.fr/~guy.david/
External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef · theses.fr
all top 5

Serials

5 Advances in Mathematics
5 Publicacions Matemàtiques
5 Astérisque
4 Revista Matemática Iberoamericana
3 Journal of Functional Analysis
3 Mathematische Annalen
3 Memoirs of the American Mathematical Society
3 Transactions of the American Mathematical Society
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Mathematische Zeitschrift
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 The Journal of Geometric Analysis
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Calculus of Variations and Partial Differential Equations
1 American Mathematical Monthly
1 Archive for Rational Mechanics and Analysis
1 Communications on Pure and Applied Mathematics
1 Journal d’Analyse Mathématique
1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
1 Annales de l’Institut Fourier
1 Duke Mathematical Journal
1 Gazette des Mathématiciens
1 Indiana University Mathematics Journal
1 Mathematika
1 Pacific Journal of Mathematics
1 IMRN. International Mathematics Research Notices
1 Geometric and Functional Analysis. GAFA
1 Communications in Partial Differential Equations
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Scientific Computing
1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts)
1 Séminaire Équations aux Dérivées Partielles
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 The Journal of Fourier Analysis and Applications
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Annals of Mathematics. Second Series
1 Acta Mathematica Sinica. English Series
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Lecture Notes in Mathematics
1 Mathematical Surveys and Monographs
1 Oxford Lecture Series in Mathematics and its Applications
1 Progress in Mathematics
1 Publications Mathématiques d’Orsay
1 Forum of Mathematics, Sigma
1 Analysis and Geometry in Metric Spaces
1 Journal de l’École Polytechnique – Mathématiques
1 Le Sel et le Fer

Publications by Year

Citations contained in zbMATH Open

80 Publications have been cited 2,308 times in 1,399 Documents Cited by Year
Analysis of and on uniformly rectifiable sets. Zbl 0832.42008
David, Guy; Semmes, Stephen
227
1993
A boundedness criterion for generalized Calderón-Zygmund operators. Zbl 0567.47025
David, Guy; Journé, Jean-Lin
213
1984
Fractured fractals and broken dreams. Self-similar geometry through metric and measure. Zbl 0887.54001
David, Guy; Semmes, Stephen
169
1997
Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation. (Calderón-Zygmund operators, para-accretive functions and interpolation). Zbl 0604.42014
David, G.; Journé, J. L.; Semmes, S.
155
1985
Singular integrals and rectifiable sets in \(R^ n\). Au-delà des graphes lipschitziens. Zbl 0743.49018
David, Guy; Semmes, Stephen
148
1991
Opérateurs intégraux singuliers sur certaines courbes du plan complexe. Zbl 0537.42016
David, Guy
92
1984
Lipschitz approximation to hypersurfaces, harmonic measure, and singular integrals. Zbl 0758.42008
David, Guy; Jerison, D.
69
1990
Solutions de l’équation de Beltrami avec \(\| \mu \| _{\infty}=1\). (Solutions of the Beltrami equation with \(\| \mu \| _{\infty}=1)\). Zbl 0619.30024
David, Guy
59
1988
Unrectifiable 1-sets have vanishing analytic capacity. Zbl 0913.30012
David, Guy
58
1998
Morceaux de graphes lipschitziens et intégrales singulières sur une surface. Zbl 0696.42011
David, Guy
57
1988
Singular sets of minimizers for the Mumford-Shah functional. Zbl 1086.49030
David, Guy
50
2005
Wavelets and singular integrals on curves and surfaces. Zbl 0764.42019
David, Guy
48
1992
Reifenberg parameterizations for sets with holes. Zbl 1236.28002
David, Guy; Toro, Tatiana
48
2012
Removable sets for Lipschitz harmonic functions in the plane. Zbl 0976.30016
David, Guy; Mattila, Pertti
45
2000
Strong \(A_ \infty\) weights, Sobolev inequalities and quasiconformal mappings. Zbl 0752.46014
David, Guy; Semmes, Stephen
43
1990
The problem of the calissons. Zbl 0723.05037
David, Guy; Tomei, Carlos
40
1989
La solution des conjectures de Calderon. Zbl 0518.42024
Coifman, R. R.; David, G.; Meyer, Y.
36
1983
Localization of eigenfunctions via an effective potential. Zbl 1432.35061
Arnold, Douglas N.; David, Guy; Filoche, Marcel; Jerison, David; Mayboroda, Svitlana
34
2019
Reifenberg flat metric spaces, snowballs, and embeddings. Zbl 0944.53004
David, Guy; Toro, T.
34
1999
Uniform rectifiability and quasiminimizing sets of arbitrary codimension. Zbl 0966.49024
David, Guy; Semmes, Stephen
32
2000
Regularity of almost minimizers with free boundary. Zbl 1378.35337
David, Guy; Toro, T.
30
2015
Asymptotically optimally doubling measures and Reifenberg flat sets with vanishing constant. Zbl 1031.28004
David, Guy; Kenig, Carlos; Toro, Tatiana
29
2001
Quantitative rectifiability and Lipschitz mappings. Zbl 0792.49029
David, Guy; Semmes, Stephen
27
1993
A generalization of Reifenberg’s theorem in \({\mathbb{R}}^3\). Zbl 1169.49040
David, Guy; Pauw, Thierry De; Toro, Tatiana
27
2008
Computing spectra without solving eigenvalue problems. Zbl 1420.81009
Arnold, Douglas N.; David, Guy; Filoche, Marcel; Jerison, David; Mayboroda, Svitlana
26
2019
Dahlberg’s theorem in higher co-dimension. Zbl 1414.42032
David, Guy; Feneuil, Joseph; Mayboroda, Svitlana
25
2019
Quasiminimal surfaces of codimension 1 and John domains. Zbl 0921.49031
David, Guy; Semmes, Stephen
24
1998
Should we solve Plateau’s problem again? Zbl 1304.49083
David, Guy
23
2014
\(C^{1+\alpha}\)-regularity for two-dimensional almost-minimal sets in \(\mathbb R^n\). Zbl 1225.49044
David, Guy
21
2010
Hölder regularity of two-dimensional almost-minimal sets in \(\mathbb R^n\). Zbl 1213.49051
David, Guy
21
2009
\(C^ 1\)-arcs for minimizers of the Mumford-Shah functional. Zbl 0870.49020
David, Guy
20
1996
Rectifiability of self-contracted curves in the Euclidean space and applications. Zbl 1326.53009
Daniilidis, A.; David, Guy; Durand-Cartagena, E.; Lemenant, A.
19
2015
Courbes corde-arc et espaces de Hardy généralisés. Zbl 0464.30028
David, Guy
19
1982
Free boundary regularity for almost-minimizers. Zbl 1455.35303
David, Guy; Engelstein, Max; Toro, Tatiana
18
2019
Cracktip is a global Mumford-Shah minimizer. Zbl 1014.49009
Bonnet, Alexis; David, Guy
18
2001
On the singular sets of minimizers of the Mumford-Shah functional. Zbl 0853.49010
David, Guy; Semmes, Stephen W.
18
1996
Elliptic theory for sets with higher co-dimensional boundaries. Zbl 1483.35099
David, G.; Feneuil, J.; Mayboroda, S.
18
2021
Analytic capacity, Calderón-Zygmund operators, and rectifiability. Zbl 1049.30017
David, Guy
17
1999
Opérateurs d’intégrale singulière les surfaces régulières. (Singular integral operators on regular surfaces). Zbl 0655.42013
David, Guy
17
1988
Une caractérisation des opérateurs intégraux singuliers bornés sur \(L^ 2(\mathbb R^ n)\). Zbl 0523.45009
David, Guy; Journe, Jean-Lin
16
1983
s-numbers of singular integrals for the invariance of absolutely continuous spectra in fractional dimensions. Zbl 0732.47023
David, Guy; Voiculescu, Dan
15
1990
Wasserstein distance and the rectifiability of doubling measures. I. Zbl 1334.28004
Azzam, Jonas; David, Guy; Toro, Tatiana
14
2016
Square functions, nontangential limits, and harmonic measure in codimension larger than 1. Zbl 1471.31001
David, Guy; Engelstein, Max; Mayboroda, Svitlana
14
2021
Limits of Almgren quasiminimal sets. Zbl 1090.49025
David, Guy
11
2003
Regular mappings between dimensions. Zbl 1041.42010
David, G.; Semmes, S.
10
2000
Uniform rectifiability and singular sets. Zbl 0908.49030
David, Guy; Semmes, Stephen
10
1996
Harmonic measure is absolutely continuous with respect to the Hausdorff measure on all low-dimensional uniformly rectifiable sets. Zbl 1527.35149
David, G.; Mayboroda, S.
9
2023
The landscape law for the integrated density of states. Zbl 1479.35267
David, G.; Filoche, M.; Mayboroda, S.
9
2021
Regularity for almost-minimizers of variable coefficient Bernoulli-type functionals. Zbl 1478.35064
David, Guy; Engelstein, Max; Smit Vega Garcia, Mariana; Toro, Tatiana
9
2021
A new elliptic measure on lower dimensional sets. Zbl 1414.28008
David, Guy; Feneuil, Joseph; Mayboroda, Svitlana
8
2019
Wasserstein distance and the rectifiability of doubling measures. II. Zbl 1375.28005
Azzam, Jonas; David, Guy; Toro, Tatiana
8
2017
Regularity of minimal and almost minimal sets and cones: J. Taylor’s theorem for beginners. Zbl 1271.49030
David, Guy
8
2013
Hausdorff dimension of uniformly non-flat sets with topology. Zbl 1065.49028
David, Guy
8
2004
A non-probabilistic proof of the Assouad embedding theorem with bounds on the dimension. Zbl 1261.53039
David, Guy; Snipes, Marie
8
2013
Harmonic measure on sets of codimension larger than one. (Mesure harmonique sur un ensemble de dimension supérieure à 1.) Zbl 1365.28002
David, Guy; Feneuil, Joseph; Mayboroda, Svitlana
7
2017
Local regularity properties of almost- and quasiminimal sets with a sliding boundary condition. Zbl 1428.49001
David, Guy
6
2019
Bounded singular integrals on a Cantor set. (Des intégrales singulières bornées sur un ensemble de Cantor.) Zbl 1047.42006
David, Guy
6
2001
Carleson measure estimates for the Green function. Zbl 1490.35135
David, Guy; Li, Linhan; Mayboroda, Svitlana
6
2022
Monotonicity and separation for the Mumford-Shah problem. Zbl 1038.49022
David, Guy; Léger, Jean-Christophe
5
2002
Approximation of Green functions and domains with uniformly rectifiable boundaries of all dimensions. Zbl 1503.35085
David, Guy; Mayboroda, Svitlana
5
2022
A free boundary problem for the localization of eigenfunctions. Zbl 1380.49001
David, Guy; Filoche, Marcel; Jerison, David; Mayboroda, Svitlana
4
2017
Good elliptic operators on Cantor sets. Zbl 1479.35284
David, Guy; Mayboroda, Svitlana
4
2021
Elliptic theory in domains with boundaries of mixed dimension. Zbl 07722428
David, Guy; Feneuil, Joseph; Mayboroda, Svitlana
4
2023
Une minoration de la norme de l’opérateur de Cauchy sur les graphes lipschtiziens. (A reduction of the norm of the Cauchy operator on the lipschitzian graphs). Zbl 0639.42013
David, Guy
3
1987
Analytic capacity, Cauchy kernel, Menger curvature, and rectifiability. Zbl 0951.30021
David, Guy
3
1999
Quasiminimal sets for Hausdorff measures. Zbl 1137.49038
David, Guy
3
2007
Harmonic analysis and the geometry of subsets of \({\mathbb{R}}^ n\). Zbl 0734.42012
David, Guy; Semmes, Stephen
3
1991
Sliding almost minimal sets and the Plateau problem. Zbl 1468.49026
David, G.
3
2020
Approximation of a Reifenberg-flat set by a smooth surface. Zbl 1294.53007
David, Guy
2
2014
Mediatrix of two arcs of a quasicircle. (Mediatrice de deux arcs de quasicercle.) Zbl 0752.30015
David, G.; Martin, G.; Semmes, S.
2
1990
Branch points for (almost-)minimizers of two-phase free boundary problems. Zbl 1505.35373
David, Guy; Engelstein, Max; Smit Vega Garcia, Mariana; Toro, Tatiana
2
2023
A monotonicity formula for minimal sets with a sliding boundary condition. Zbl 1344.49073
David, G.
1
2016
Mumford-Shah minimizers on thin plates. Zbl 1103.49022
David, Guy
1
2006
Open questions on the Mumford-Shah functional. Zbl 1110.49034
David, Guy
1
2005
\(\omega\)-Calderón-Zygmund operators. Zbl 0689.47011
Coifman, R.; David, G.; Meyer, Y.; Semmes, S.
1
1989
On a variational problem from image processing. Zbl 0887.49002
David, Guy; Semmes, Stephen
1
1995
A local description of 2-dimensional almost minimal sets bounded by a curve. Zbl 1493.49042
David, Guy
1
2022
Carleson estimates for the Green function on domains with lower dimensional boundaries. Zbl 1496.35188
David, Guy; Li, Linhan; Mayboroda, Svitlana
1
2022
Green function estimates on complements of low-dimensional uniformly rectifiable sets. Zbl 1519.31002
David, Guy; Feneuil, Joseph; Mayboroda, Svitlana
1
2023
Small \(A_\infty\) results for Dahlberg-Kenig-Pipher operators in sets with uniformly rectifiable boundaries. Zbl 1528.35038
David, Guy; Li, Linhan; Mayboroda, Svitlana
1
2023
Harmonic measure is absolutely continuous with respect to the Hausdorff measure on all low-dimensional uniformly rectifiable sets. Zbl 1527.35149
David, G.; Mayboroda, S.
9
2023
Elliptic theory in domains with boundaries of mixed dimension. Zbl 07722428
David, Guy; Feneuil, Joseph; Mayboroda, Svitlana
4
2023
Branch points for (almost-)minimizers of two-phase free boundary problems. Zbl 1505.35373
David, Guy; Engelstein, Max; Smit Vega Garcia, Mariana; Toro, Tatiana
2
2023
Green function estimates on complements of low-dimensional uniformly rectifiable sets. Zbl 1519.31002
David, Guy; Feneuil, Joseph; Mayboroda, Svitlana
1
2023
Small \(A_\infty\) results for Dahlberg-Kenig-Pipher operators in sets with uniformly rectifiable boundaries. Zbl 1528.35038
David, Guy; Li, Linhan; Mayboroda, Svitlana
1
2023
Carleson measure estimates for the Green function. Zbl 1490.35135
David, Guy; Li, Linhan; Mayboroda, Svitlana
6
2022
Approximation of Green functions and domains with uniformly rectifiable boundaries of all dimensions. Zbl 1503.35085
David, Guy; Mayboroda, Svitlana
5
2022
A local description of 2-dimensional almost minimal sets bounded by a curve. Zbl 1493.49042
David, Guy
1
2022
Carleson estimates for the Green function on domains with lower dimensional boundaries. Zbl 1496.35188
David, Guy; Li, Linhan; Mayboroda, Svitlana
1
2022
Elliptic theory for sets with higher co-dimensional boundaries. Zbl 1483.35099
David, G.; Feneuil, J.; Mayboroda, S.
18
2021
Square functions, nontangential limits, and harmonic measure in codimension larger than 1. Zbl 1471.31001
David, Guy; Engelstein, Max; Mayboroda, Svitlana
14
2021
The landscape law for the integrated density of states. Zbl 1479.35267
David, G.; Filoche, M.; Mayboroda, S.
9
2021
Regularity for almost-minimizers of variable coefficient Bernoulli-type functionals. Zbl 1478.35064
David, Guy; Engelstein, Max; Smit Vega Garcia, Mariana; Toro, Tatiana
9
2021
Good elliptic operators on Cantor sets. Zbl 1479.35284
David, Guy; Mayboroda, Svitlana
4
2021
Sliding almost minimal sets and the Plateau problem. Zbl 1468.49026
David, G.
3
2020
Localization of eigenfunctions via an effective potential. Zbl 1432.35061
Arnold, Douglas N.; David, Guy; Filoche, Marcel; Jerison, David; Mayboroda, Svitlana
34
2019
Computing spectra without solving eigenvalue problems. Zbl 1420.81009
Arnold, Douglas N.; David, Guy; Filoche, Marcel; Jerison, David; Mayboroda, Svitlana
26
2019
Dahlberg’s theorem in higher co-dimension. Zbl 1414.42032
David, Guy; Feneuil, Joseph; Mayboroda, Svitlana
25
2019
Free boundary regularity for almost-minimizers. Zbl 1455.35303
David, Guy; Engelstein, Max; Toro, Tatiana
18
2019
A new elliptic measure on lower dimensional sets. Zbl 1414.28008
David, Guy; Feneuil, Joseph; Mayboroda, Svitlana
8
2019
Local regularity properties of almost- and quasiminimal sets with a sliding boundary condition. Zbl 1428.49001
David, Guy
6
2019
Wasserstein distance and the rectifiability of doubling measures. II. Zbl 1375.28005
Azzam, Jonas; David, Guy; Toro, Tatiana
8
2017
Harmonic measure on sets of codimension larger than one. (Mesure harmonique sur un ensemble de dimension supérieure à 1.) Zbl 1365.28002
David, Guy; Feneuil, Joseph; Mayboroda, Svitlana
7
2017
A free boundary problem for the localization of eigenfunctions. Zbl 1380.49001
David, Guy; Filoche, Marcel; Jerison, David; Mayboroda, Svitlana
4
2017
Wasserstein distance and the rectifiability of doubling measures. I. Zbl 1334.28004
Azzam, Jonas; David, Guy; Toro, Tatiana
14
2016
A monotonicity formula for minimal sets with a sliding boundary condition. Zbl 1344.49073
David, G.
1
2016
Regularity of almost minimizers with free boundary. Zbl 1378.35337
David, Guy; Toro, T.
30
2015
Rectifiability of self-contracted curves in the Euclidean space and applications. Zbl 1326.53009
Daniilidis, A.; David, Guy; Durand-Cartagena, E.; Lemenant, A.
19
2015
Should we solve Plateau’s problem again? Zbl 1304.49083
David, Guy
23
2014
Approximation of a Reifenberg-flat set by a smooth surface. Zbl 1294.53007
David, Guy
2
2014
Regularity of minimal and almost minimal sets and cones: J. Taylor’s theorem for beginners. Zbl 1271.49030
David, Guy
8
2013
A non-probabilistic proof of the Assouad embedding theorem with bounds on the dimension. Zbl 1261.53039
David, Guy; Snipes, Marie
8
2013
Reifenberg parameterizations for sets with holes. Zbl 1236.28002
David, Guy; Toro, Tatiana
48
2012
\(C^{1+\alpha}\)-regularity for two-dimensional almost-minimal sets in \(\mathbb R^n\). Zbl 1225.49044
David, Guy
21
2010
Hölder regularity of two-dimensional almost-minimal sets in \(\mathbb R^n\). Zbl 1213.49051
David, Guy
21
2009
A generalization of Reifenberg’s theorem in \({\mathbb{R}}^3\). Zbl 1169.49040
David, Guy; Pauw, Thierry De; Toro, Tatiana
27
2008
Quasiminimal sets for Hausdorff measures. Zbl 1137.49038
David, Guy
3
2007
Mumford-Shah minimizers on thin plates. Zbl 1103.49022
David, Guy
1
2006
Singular sets of minimizers for the Mumford-Shah functional. Zbl 1086.49030
David, Guy
50
2005
Open questions on the Mumford-Shah functional. Zbl 1110.49034
David, Guy
1
2005
Hausdorff dimension of uniformly non-flat sets with topology. Zbl 1065.49028
David, Guy
8
2004
Limits of Almgren quasiminimal sets. Zbl 1090.49025
David, Guy
11
2003
Monotonicity and separation for the Mumford-Shah problem. Zbl 1038.49022
David, Guy; Léger, Jean-Christophe
5
2002
Asymptotically optimally doubling measures and Reifenberg flat sets with vanishing constant. Zbl 1031.28004
David, Guy; Kenig, Carlos; Toro, Tatiana
29
2001
Cracktip is a global Mumford-Shah minimizer. Zbl 1014.49009
Bonnet, Alexis; David, Guy
18
2001
Bounded singular integrals on a Cantor set. (Des intégrales singulières bornées sur un ensemble de Cantor.) Zbl 1047.42006
David, Guy
6
2001
Removable sets for Lipschitz harmonic functions in the plane. Zbl 0976.30016
David, Guy; Mattila, Pertti
45
2000
Uniform rectifiability and quasiminimizing sets of arbitrary codimension. Zbl 0966.49024
David, Guy; Semmes, Stephen
32
2000
Regular mappings between dimensions. Zbl 1041.42010
David, G.; Semmes, S.
10
2000
Reifenberg flat metric spaces, snowballs, and embeddings. Zbl 0944.53004
David, Guy; Toro, T.
34
1999
Analytic capacity, Calderón-Zygmund operators, and rectifiability. Zbl 1049.30017
David, Guy
17
1999
Analytic capacity, Cauchy kernel, Menger curvature, and rectifiability. Zbl 0951.30021
David, Guy
3
1999
Unrectifiable 1-sets have vanishing analytic capacity. Zbl 0913.30012
David, Guy
58
1998
Quasiminimal surfaces of codimension 1 and John domains. Zbl 0921.49031
David, Guy; Semmes, Stephen
24
1998
Fractured fractals and broken dreams. Self-similar geometry through metric and measure. Zbl 0887.54001
David, Guy; Semmes, Stephen
169
1997
\(C^ 1\)-arcs for minimizers of the Mumford-Shah functional. Zbl 0870.49020
David, Guy
20
1996
On the singular sets of minimizers of the Mumford-Shah functional. Zbl 0853.49010
David, Guy; Semmes, Stephen W.
18
1996
Uniform rectifiability and singular sets. Zbl 0908.49030
David, Guy; Semmes, Stephen
10
1996
On a variational problem from image processing. Zbl 0887.49002
David, Guy; Semmes, Stephen
1
1995
Analysis of and on uniformly rectifiable sets. Zbl 0832.42008
David, Guy; Semmes, Stephen
227
1993
Quantitative rectifiability and Lipschitz mappings. Zbl 0792.49029
David, Guy; Semmes, Stephen
27
1993
Wavelets and singular integrals on curves and surfaces. Zbl 0764.42019
David, Guy
48
1992
Singular integrals and rectifiable sets in \(R^ n\). Au-delà des graphes lipschitziens. Zbl 0743.49018
David, Guy; Semmes, Stephen
148
1991
Harmonic analysis and the geometry of subsets of \({\mathbb{R}}^ n\). Zbl 0734.42012
David, Guy; Semmes, Stephen
3
1991
Lipschitz approximation to hypersurfaces, harmonic measure, and singular integrals. Zbl 0758.42008
David, Guy; Jerison, D.
69
1990
Strong \(A_ \infty\) weights, Sobolev inequalities and quasiconformal mappings. Zbl 0752.46014
David, Guy; Semmes, Stephen
43
1990
s-numbers of singular integrals for the invariance of absolutely continuous spectra in fractional dimensions. Zbl 0732.47023
David, Guy; Voiculescu, Dan
15
1990
Mediatrix of two arcs of a quasicircle. (Mediatrice de deux arcs de quasicercle.) Zbl 0752.30015
David, G.; Martin, G.; Semmes, S.
2
1990
The problem of the calissons. Zbl 0723.05037
David, Guy; Tomei, Carlos
40
1989
\(\omega\)-Calderón-Zygmund operators. Zbl 0689.47011
Coifman, R.; David, G.; Meyer, Y.; Semmes, S.
1
1989
Solutions de l’équation de Beltrami avec \(\| \mu \| _{\infty}=1\). (Solutions of the Beltrami equation with \(\| \mu \| _{\infty}=1)\). Zbl 0619.30024
David, Guy
59
1988
Morceaux de graphes lipschitziens et intégrales singulières sur une surface. Zbl 0696.42011
David, Guy
57
1988
Opérateurs d’intégrale singulière les surfaces régulières. (Singular integral operators on regular surfaces). Zbl 0655.42013
David, Guy
17
1988
Une minoration de la norme de l’opérateur de Cauchy sur les graphes lipschtiziens. (A reduction of the norm of the Cauchy operator on the lipschitzian graphs). Zbl 0639.42013
David, Guy
3
1987
Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation. (Calderón-Zygmund operators, para-accretive functions and interpolation). Zbl 0604.42014
David, G.; Journé, J. L.; Semmes, S.
155
1985
A boundedness criterion for generalized Calderón-Zygmund operators. Zbl 0567.47025
David, Guy; Journé, Jean-Lin
213
1984
Opérateurs intégraux singuliers sur certaines courbes du plan complexe. Zbl 0537.42016
David, Guy
92
1984
La solution des conjectures de Calderon. Zbl 0518.42024
Coifman, R. R.; David, G.; Meyer, Y.
36
1983
Une caractérisation des opérateurs intégraux singuliers bornés sur \(L^ 2(\mathbb R^ n)\). Zbl 0523.45009
David, Guy; Journe, Jean-Lin
16
1983
Courbes corde-arc et espaces de Hardy généralisés. Zbl 0464.30028
David, Guy
19
1982
all top 5

Cited by 1,305 Authors

45 Tolsa, Xavier
32 Hofmann, Steve
31 David, Guy
30 Mayboroda, Svitlana
28 Han, Yongsheng
27 Toro, Tatiana
24 Azzam, Jonas
19 Xi, Lifeng
18 Abreu-Blaya, Ricardo
18 Ciucu, Mihai
18 Mourgoglou, Mihalis
17 Bory Reyes, Juan
17 Lemenant, Antoine
17 Yang, Dachun
16 Badger, Matthew
15 Byun, Sun-Sig
14 Engelstein, Max
14 Hytönen, Tuomas P.
14 Martell, José María (Chema)
14 Schul, Raanan
13 Feneuil, Joseph
13 Heinonen, Juha
13 Koskela, Pekka
13 Li, Ji
13 Lin, Chincheng
12 Martikainen, Henri
11 Nazarov, Fedor L.
11 Nyström, Kaj
11 Sawyer, Eric T.
11 Semmes, Stephen W.
11 Volberg, Alexander Lvovich
10 Bortz, Simon
10 Krattenthaler, Christian Friedrich
10 Li, Sean
10 Liang, Xiangyu
10 Mitrea, Marius
10 Stein, Elias Menachem
10 The Anh Bui
9 Jaye, Benjamin J.
9 Kenig, Carlos Eduardo
9 Mateu, Joan
9 Orponen, Tuomas
9 Ryazanov, Vladimir Il’ich
9 Uriarte-Tuero, Ignacio
9 Xiong, Ying
9 Xue, Qingying
8 Duong, Xuan Thinh
8 Han, Yanchang
8 Lee, Ming-Yi
8 Naor, Assaf
8 Voiculescu, Dan-Virgil
7 Ambrosio, Luigi
7 Chousionis, Vasilis
7 Daniilidis, Aris
7 David, Guy C.
7 De Lellis, Camillo
7 Lanzani, Loredana
7 Mas, Albert
7 Mattila, Pertti
7 Prat, Laura
7 Vellis, Vyron
7 von der Mosel, Heiko
7 Wu, Sijue
7 Xia, Jingbo
7 Zhao, Zihui
6 Auscher, Pascal
6 Bonk, Mario
6 Chang, Der-Chen E.
6 Chen, Jiecheng
6 Fässler, Katrin S.
6 Focardi, Matteo
6 Fusco, Nicola
6 Hart, Jarod V.
6 He, Shaoyong
6 Kolasiński, Sławomir
6 Le Donne, Enrico
6 Qian, Tao
6 Ruan, Huo-Jun
6 Si, Zengyan
6 Strzelecki, Paweł
6 Torres, Rodolfo H.
6 Valtorta, Daniele
6 Villa, Michele
6 Vuorinen, Emil
6 Wang, Lihe
6 Wang, Wei
6 Wick, Brett Duane
6 Zheng, Taotao
5 Astala, Kari
5 Chambolle, Antonin
5 Chousionis, Vasileios
5 Dąbrowski, Damian
5 De Philippis, Guido
5 De Rosa, Antonio
5 Fang, Yangqin
5 Filoche, Marcel
5 Lacey, Michael T.
5 Lerman, Gilad
5 Lewis, John L.
5 Liao, Fanghui
...and 1,205 more Authors
all top 5

Cited in 271 Serials

59 The Journal of Geometric Analysis
58 Advances in Mathematics
57 Journal of Mathematical Analysis and Applications
57 Journal of Functional Analysis
57 Transactions of the American Mathematical Society
46 Proceedings of the American Mathematical Society
36 Revista Matemática Iberoamericana
34 Calculus of Variations and Partial Differential Equations
27 Journal d’Analyse Mathématique
26 Duke Mathematical Journal
25 Mathematische Zeitschrift
24 Journal de Mathématiques Pures et Appliquées. Neuvième Série
23 The Journal of Fourier Analysis and Applications
17 Communications on Pure and Applied Mathematics
17 Analysis & PDE
16 Archive for Rational Mechanics and Analysis
16 Mathematische Annalen
15 Journal of Combinatorial Theory. Series A
14 Inventiones Mathematicae
14 Mathematische Nachrichten
14 Potential Analysis
14 Acta Mathematica Sinica. English Series
13 Geometric and Functional Analysis. GAFA
13 Communications in Partial Differential Equations
12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
12 Analysis and Geometry in Metric Spaces
11 Journal of Differential Equations
11 Journal of the European Mathematical Society (JEMS)
11 Science China. Mathematics
10 Communications in Mathematical Physics
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Conformal Geometry and Dynamics
9 Annales de l’Institut Fourier
9 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
9 Journal für die Reine und Angewandte Mathematik
9 Proceedings of the London Mathematical Society. Third Series
8 Journal of the London Mathematical Society. Second Series
8 Manuscripta Mathematica
8 Fractals
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Advances in Calculus of Variations
7 Illinois Journal of Mathematics
7 Memoirs of the American Mathematical Society
7 Journal of the American Mathematical Society
7 Applied and Computational Harmonic Analysis
7 Journal of Mathematical Sciences (New York)
7 Annales Academiae Scientiarum Fennicae. Mathematica
7 Complex Variables and Elliptic Equations
7 Annales Fennici Mathematici
6 Applicable Analysis
6 Arkiv för Matematik
6 Acta Mathematica
6 Science in China. Series A
6 SIAM Journal on Mathematical Analysis
6 St. Petersburg Mathematical Journal
6 Annals of Mathematics. Second Series
6 Computational Methods and Function Theory
6 Complex Analysis and Operator Theory
5 Studia Mathematica
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Bulletin of the London Mathematical Society
5 Monatshefte für Mathematik
5 Zeitschrift für Analysis und ihre Anwendungen
5 Bulletin of the American Mathematical Society. New Series
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Journal of Inequalities and Applications
5 Journal of the Australian Mathematical Society
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
4 Israel Journal of Mathematics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Ukrainian Mathematical Journal
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Archiv der Mathematik
4 Collectanea Mathematica
4 Michigan Mathematical Journal
4 Results in Mathematics
4 Siberian Mathematical Journal
4 Constructive Approximation
4 Discrete & Computational Geometry
4 Publicacions Matemàtiques
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 The Electronic Journal of Combinatorics
4 Discrete and Continuous Dynamical Systems
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Journal of Pseudo-Differential Operators and Applications
4 Journal of Spectral Theory
4 Bulletin of Mathematical Sciences
3 Discrete Mathematics
3 Journal of Mathematical Physics
3 Nonlinearity
3 Rocky Mountain Journal of Mathematics
3 Bulletin de la Société Mathématique de France
3 Publications Mathématiques
3 Integral Equations and Operator Theory
3 Mathematika
3 Ricerche di Matematica
3 Topology and its Applications
3 Chinese Annals of Mathematics. Series B
3 International Journal of Mathematics
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
...and 171 more Serials
all top 5

Cited in 54 Fields

410 Harmonic analysis on Euclidean spaces (42-XX)
326 Partial differential equations (35-XX)
312 Measure and integration (28-XX)
282 Functions of a complex variable (30-XX)
200 Calculus of variations and optimal control; optimization (49-XX)
157 Functional analysis (46-XX)
147 Operator theory (47-XX)
107 Potential theory (31-XX)
75 Differential geometry (53-XX)
52 Real functions (26-XX)
50 Combinatorics (05-XX)
40 Abstract harmonic analysis (43-XX)
40 Convex and discrete geometry (52-XX)
39 Global analysis, analysis on manifolds (58-XX)
35 Dynamical systems and ergodic theory (37-XX)
35 General topology (54-XX)
32 Numerical analysis (65-XX)
30 Fluid mechanics (76-XX)
29 Several complex variables and analytic spaces (32-XX)
27 Probability theory and stochastic processes (60-XX)
26 Integral equations (45-XX)
25 Computer science (68-XX)
22 Manifolds and cell complexes (57-XX)
22 Mechanics of deformable solids (74-XX)
20 Geometry (51-XX)
20 Quantum theory (81-XX)
20 Statistical mechanics, structure of matter (82-XX)
17 Topological groups, Lie groups (22-XX)
15 Integral transforms, operational calculus (44-XX)
15 Information and communication theory, circuits (94-XX)
13 Number theory (11-XX)
11 Group theory and generalizations (20-XX)
11 Ordinary differential equations (34-XX)
10 Approximations and expansions (41-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Statistics (62-XX)
6 Operations research, mathematical programming (90-XX)
5 General and overarching topics; collections (00-XX)
5 Special functions (33-XX)
5 Algebraic topology (55-XX)
5 Systems theory; control (93-XX)
4 History and biography (01-XX)
4 Optics, electromagnetic theory (78-XX)
3 Algebraic geometry (14-XX)
2 Commutative algebra (13-XX)
2 Relativity and gravitational theory (83-XX)
2 Biology and other natural sciences (92-XX)
1 Mathematical logic and foundations (03-XX)
1 Category theory; homological algebra (18-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Mechanics of particles and systems (70-XX)
1 Geophysics (86-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.