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1
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Almost everywhere convergence for Lebesgue differentiation processes along rectangles

Authors: D'Aniello, Emma, Gauvan, Anthony, Moonens, Laurent, Rosenblatt, Joseph

Contributors: Università degli studi della Campania "Luigi Vanvitelli" = University of the Study of Campania Luigi Vanvitelli, Département de Mathématiques et Applications - ENS Paris (DMA), École normale supérieure - Paris (ENS-PSL), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Mathématiques d'Orsay (LMO), Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Université Paris-Sud - Paris 11 (UP11)-Centre National de la Recherche Scientifique (CNRS), UIUC Department of Mathematics, University of Illinois at Urbana-Champaign Urbana, University of Illinois System-University of Illinois System

Superior Title: https://hal.science/hal-03708574 ; 2022.

Subject Terms: Maximal Functions, Differentiation of Real Functions, Almost Everywhere Convergence of Differentiation Processes, Primary 42B25, 26B05, Secondary 42B35 Maximal Functions, [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA]

Relation: hal-03708574; https://hal.science/hal-03708574; https://hal.science/hal-03708574/document; https://hal.science/hal-03708574/file/DGMR-Final-Submitted-Version-June-2022.pdf

Availability: https://hal.science/hal-03708574
https://hal.science/hal-03708574/document
https://hal.science/hal-03708574/file/DGMR-Final-Submitted-Version-June-2022.pdf


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2
Report
Almost everywhere convergence for Lebesgue differentiation processes along rectangles

Authors: D'Aniello, Emma, Gauvan, Anthony, Moonens, Laurent, Rosenblatt, Joseph

Contributors: Università degli studi della Campania "Luigi Vanvitelli" = University of the Study of Campania Luigi Vanvitelli, Département de Mathématiques et Applications - ENS Paris (DMA), École normale supérieure - Paris (ENS-PSL), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Mathématiques d'Orsay (LMO), Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Université Paris-Sud - Paris 11 (UP11)-Centre National de la Recherche Scientifique (CNRS), UIUC Department of Mathematics, University of Illinois at Urbana-Champaign Urbana, University of Illinois System-University of Illinois System

Superior Title: https://hal.science/hal-03708574 ; 2022.

Subject Terms: Maximal Functions, Differentiation of Real Functions, Almost Everywhere Convergence of Differentiation Processes, Primary 42B25, 26B05, Secondary 42B35 Maximal Functions, [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA]

Relation: hal-03708574; https://hal.science/hal-03708574; https://hal.science/hal-03708574/document; https://hal.science/hal-03708574/file/DGMR-Final-Submitted-Version-June-2022.pdf

Availability: https://hal.science/hal-03708574
https://hal.science/hal-03708574/document
https://hal.science/hal-03708574/file/DGMR-Final-Submitted-Version-June-2022.pdf


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6
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Boundary value problems and Hardy spaces for elliptic systems with block structure

Authors: Auscher, Pascal, Egert, Moritz

Contributors: Laboratoire de Mathématiques d'Orsay (LMO), Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Technische Universität Darmstadt - Technical University of Darmstadt (TU Darmstadt), ANR-18-CE40-0012,RAGE,Analyse Réelle et Géométrie(2018)

Superior Title: https://hal.science/hal-03037758 ; 2020.

Subject Terms: Hardy spaces, Poisson semigroup, functional calculus, Riesz transform, square root problem, non-tangential maximal functions, square functions, Carleson functionals, single layer operators, Sobolev-type spaces, Second-order divergence-form operator, elliptic equations and systems, boundary value problems, solvability/uniqueness/wellposedness, Primary: 35J25, 42B35, 47A60, 42B30, 42B37. Secondary: 35J57, 35J67, 47D06, 35J46, 42B25, 46E35, [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA], [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA], [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/2012.02448; hal-03037758; https://hal.science/hal-03037758; https://hal.science/hal-03037758v2/document; https://hal.science/hal-03037758v2/file/AE-block-complete.pdf; ARXIV: 2012.02448

Availability: https://hal.science/hal-03037758
https://hal.science/hal-03037758v2/document
https://hal.science/hal-03037758v2/file/AE-block-complete.pdf


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7
Report
Boundary value problems and Hardy spaces for elliptic systems with block structure

Authors: Auscher, Pascal, Egert, Moritz

Contributors: Laboratoire de Mathématiques d'Orsay (LMO), Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Technische Universität Darmstadt (TU Darmstadt), ANR-18-CE40-0012,RAGE,Analyse Réelle et Géométrie(2018)

Superior Title: https://hal.archives-ouvertes.fr/hal-03037758 ; 2020.

Subject Terms: elliptic equations and systems, boundary value problems, solvability/uniqueness/wellposedness, Hardy spaces, Poisson semigroup, functional calculus, Riesz transform, square root problem, non-tangential maximal functions, square functions, Carleson functionals, single layer operators, Sobolev-type spaces, Second-order divergence-form operator, Primary: 35J25, 42B35, 47A60, 42B30, 42B37. Secondary: 35J57, 35J67, 47D06, 35J46, 42B25, 46E35, [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA], [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA], [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/2012.02448; hal-03037758; https://hal.archives-ouvertes.fr/hal-03037758; https://hal.archives-ouvertes.fr/hal-03037758v2/document; https://hal.archives-ouvertes.fr/hal-03037758v2/file/AE-block-complete.pdf; ARXIV: 2012.02448

Availability: https://hal.archives-ouvertes.fr/hal-03037758
https://hal.archives-ouvertes.fr/hal-03037758v2/document
https://hal.archives-ouvertes.fr/hal-03037758v2/file/AE-block-complete.pdf


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8
Report
Boundary value problems and Hardy spaces for elliptic systems with block structure

Authors: Auscher, Pascal, Egert, Moritz

Contributors: Laboratoire de Mathématiques d'Orsay (LMO), Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352 (LAMFA), Université de Picardie Jules Verne (UPJV)-Centre National de la Recherche Scientifique (CNRS), ANR-18-CE40-0012,RAGE,Analyse Réelle et Géométrie(2018)

Superior Title: https://hal.archives-ouvertes.fr/hal-03037758 ; 2020.

Subject Terms: elliptic equations and systems, boundary value problems, solvability/uniqueness/wellposedness, Hardy spaces, Poisson semigroup, functional calculus, Riesz transform, square root problem, non-tangential maximal functions, square functions, Carleson functionals, single layer operators, Sobolev-type spaces, Second-order divergence-form operator, Primary: 35J25, 42B35, 47A60, 42B30, 42B37. Secondary: 35J57, 35J67, 47D06, 35J46, 42B25, 46E35, [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA], [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA], [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/2012.02448; hal-03037758; https://hal.archives-ouvertes.fr/hal-03037758; https://hal.archives-ouvertes.fr/hal-03037758/document; https://hal.archives-ouvertes.fr/hal-03037758/file/AE-block-complete.pdf; ARXIV: 2012.02448

Availability: https://hal.archives-ouvertes.fr/hal-03037758
https://hal.archives-ouvertes.fr/hal-03037758/document
https://hal.archives-ouvertes.fr/hal-03037758/file/AE-block-complete.pdf


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9
Report
Boundary value problems and Hardy spaces for elliptic systems with block structure

Authors: Auscher, Pascal, Egert, Moritz

Contributors: Laboratoire de Mathématiques d'Orsay (LMO), Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Technische Universität Darmstadt - Technical University of Darmstadt (TU Darmstadt), ANR-18-CE40-0012,RAGE,Analyse Réelle et Géométrie(2018)

Superior Title: https://hal.science/hal-03037758 ; 2020.

Subject Terms: Hardy spaces, Poisson semigroup, functional calculus, Riesz transform, square root problem, non-tangential maximal functions, square functions, Carleson functionals, single layer operators, Sobolev-type spaces, Second-order divergence-form operator, elliptic equations and systems, boundary value problems, solvability/uniqueness/wellposedness, Primary: 35J25, 42B35, 47A60, 42B30, 42B37. Secondary: 35J57, 35J67, 47D06, 35J46, 42B25, 46E35, [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA], [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA], [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/2012.02448; hal-03037758; https://hal.science/hal-03037758; https://hal.science/hal-03037758v2/document; https://hal.science/hal-03037758v2/file/AE-block-complete.pdf; ARXIV: 2012.02448

Availability: https://hal.science/hal-03037758
https://hal.science/hal-03037758v2/document
https://hal.science/hal-03037758v2/file/AE-block-complete.pdf


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12
Report
MODULAR INEQUALITIES FOR THE MAXIMAL OPERATOR IN VARIABLE LEBESGUE SPACES

Authors: Cruz-Uribe, David, Di Fratta, Giovanni, Fiorenza, Alberto

Contributors: University of Alabama Tuscaloosa (UA), Centre de Mathématiques Appliquées - Ecole Polytechnique (CMAP), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), University of Naples Federico II = Università degli studi di Napoli Federico II

Superior Title: https://hal.science/hal-01665500 ; 2017.

Subject Terms: Maximal function, Variable Lebesgue spaces, Modular inequalities, 42B25, 46E30, 26D15, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/1710.05217; hal-01665500; https://hal.science/hal-01665500; https://hal.science/hal-01665500/document; https://hal.science/hal-01665500/file/DCUDFF2-bis.pdf; ARXIV: 1710.05217

Availability: https://hal.science/hal-01665500
https://hal.science/hal-01665500/document
https://hal.science/hal-01665500/file/DCUDFF2-bis.pdf


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14
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MODULAR INEQUALITIES FOR THE MAXIMAL OPERATOR IN VARIABLE LEBESGUE SPACES

Authors: Cruz-Uribe, David, Di Fratta, Giovanni, Fiorenza, Alberto

Contributors: University of Alabama Tuscaloosa (UA), Centre de Mathématiques Appliquées - Ecole Polytechnique (CMAP), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), University of Naples Federico II = Università degli studi di Napoli Federico II

Superior Title: https://hal.science/hal-01665500 ; 2017.

Subject Terms: Maximal function, Variable Lebesgue spaces, Modular inequalities, 42B25, 46E30, 26D15, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/1710.05217; hal-01665500; https://hal.science/hal-01665500; https://hal.science/hal-01665500/document; https://hal.science/hal-01665500/file/DCUDFF2-bis.pdf; ARXIV: 1710.05217

Availability: https://hal.science/hal-01665500
https://hal.science/hal-01665500/document
https://hal.science/hal-01665500/file/DCUDFF2-bis.pdf


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17
Report
MODULAR INEQUALITIES FOR THE MAXIMAL OPERATOR IN VARIABLE LEBESGUE SPACES

Authors: Cruz-Uribe, David, Di Fratta, Giovanni, Fiorenza, Alberto

Contributors: University of Alabama Tuscaloosa (UA), Centre de Mathématiques Appliquées - Ecole Polytechnique (CMAP), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), University of Naples Federico II = Università degli studi di Napoli Federico II

Superior Title: https://hal.science/hal-01665500 ; 2017.

Subject Terms: Maximal function, Variable Lebesgue spaces, Modular inequalities, 42B25, 46E30, 26D15, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/1710.05217; hal-01665500; https://hal.science/hal-01665500; https://hal.science/hal-01665500/document; https://hal.science/hal-01665500/file/DCUDFF2-bis.pdf; ARXIV: 1710.05217

Availability: https://hal.science/hal-01665500
https://hal.science/hal-01665500/document
https://hal.science/hal-01665500/file/DCUDFF2-bis.pdf


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18
Report
Averages over annuli or tubes on the moving planes

Authors: KIM, Joonil

Subject Terms: 42B15, 42B30, Nikodym maximal function, Heisenberg group, Fourier Inversion formula

Time: 410

Relation: http://hdl.handle.net/2433/268943; AA12196120; 数理解析研究所講究録別冊; B88; 27; 43; RIMS Kokyuroku Bessatsu

Availability: http://hdl.handle.net/2433/268943


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