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Author ID: spector.daniel-e Recent zbMATH articles by "Spector, Daniel E."
Published as: Spector, Daniel; Spector, Daniel E.; Spector, D.
External Links: MGP
Documents Indexed: 49 Publications since 2011, including 6 Additional arXiv Preprints
Reviewing Activity: 1 Review
Co-Authors: 32 Co-Authors with 42 Joint Publications
925 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 482 times in 245 Documents Cited by Year
On a new class of fractional partial differential equations. Zbl 1330.35510
Shieh, Tien-Tsan; Spector, Daniel E.
62
2015
Characterization of Sobolev and BV spaces. Zbl 1236.46032
Leoni, Giovanni; Spector, Daniel
51
2011
On a new class of fractional partial differential equations. II. Zbl 1451.35257
Shieh, Tien-Tsan; Spector, Daniel E.
43
2018
Localization of nonlocal gradients in various topologies. Zbl 1334.46031
Mengesha, Tadele; Spector, Daniel
34
2015
An \(L^1\)-type estimate for Riesz potentials. Zbl 1375.47039
Schikorra, Armin; Spector, Daniel; van Schaftingen, Jean
30
2017
Simple proofs of some results of Reshetnyak. Zbl 1215.49025
Spector, Daniel
26
2011
An optimal Sobolev embedding for \(L^1\). Zbl 1455.46039
Spector, Daniel
18
2020
Corrigendum to “Characterization of Sobolev and \(BV\) spaces”. Zbl 1308.46045
Leoni, Giovanni; Spector, Daniel
17
2014
Regularity for a fractional \(p\)-Laplace equation. Zbl 1386.35455
Schikorra, Armin; Shieh, Tien-Tsan; Spector, Daniel E.
16
2018
A boxing inequality for the fractional perimeter. Zbl 1466.46029
Ponce, Augusto C.; Spector, Daniel
16
2020
On formulae decoupling the total variation of BV functions. Zbl 1359.26011
Ponce, Augusto C.; Spector, Daniel
15
2017
A noninequality for the fractional gradient. Zbl 1453.46035
Spector, Daniel
14
2019
\(L^p\) theory for fractional gradient PDE with \(VMO\) coefficients. Zbl 1332.35384
Schikorra, Armin; Shieh, Tien-Tsan; Spector, Daniel
13
2015
Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo’s lemma. Zbl 1442.46027
Spector, Daniel; van Schaftingen, Jean
13
2019
On the role of Riesz potentials in Poisson’s equation and Sobolev embeddings. Zbl 1338.31011
Spector, Daniel; Garg, Rahul
11
2015
Analysis and application of a nonlocal Hessian. Zbl 1330.94010
Lellmann, Jan; Papafitsoros, Konstantinos; Schönlieb, Carola; Spector, Daniel
11
2015
New directions in harmonic analysis on \(L^1\). Zbl 1437.42037
Spector, Daniel
9
2020
On the regularity of solutions to Poisson’s equation. (Sur la régularité des solutions de l’équation de Poisson.) Zbl 1326.35088
Garg, Rahul; Spector, Daniel
8
2015
The fractional variation and the precise representative of \(BV^{\alpha,p}\) functions. Zbl 1505.46032
Comi, Giovanni E.; Spector, Daniel; Stefani, Giorgio
8
2022
On Korn-Maxwell-Sobolev inequalities. Zbl 1466.35007
Gmeineder, Franz; Spector, Daniel
7
2021
A remark on an integral characterization of the dual of BV. Zbl 1373.26009
Fusco, Nicola; Spector, Daniel
6
2018
An improvement to the John-Nirenberg inequality for functions in critical Sobolev spaces. Zbl 1478.46036
Martínez, Ángel D.; Spector, Daniel
6
2021
A Leray-Trudinger inequality. Zbl 1338.46048
Psaradakis, G.; Spector, D.
5
2015
On a generalization of \(L^p\)-differentiability. Zbl 1355.46043
Spector, Daniel
5
2016
Uniqueness of equilibrium with sufficiently small strains in finite elasticity. Zbl 1482.74036
Spector, Daniel E.; Spector, Scott J.
4
2019
A note on the fractional perimeter and interpolation. (Une note sur le périmètre fractionnaire et l’interpolation.) Zbl 1385.46024
Ponce, Augusto C.; Spector, Daniel
4
2017
\(L^p\)-Taylor approximations characterize the Sobolev space \(W^{1,p}\). (Les développements de Taylor-\(L^p\) caractérisent l’espace de Sobolev \(W^{1,p}\).) Zbl 1336.46033
Spector, Daniel
4
2015
Endpoint \(L^1\) estimates for Hodge systems. Zbl 1511.35012
Hernandez, Felipe; Raiță, Bogdan; Spector, Daniel
4
2023
Some remarks on boundary operators of Bessel extensions. Zbl 1374.35177
Goodman, Jesse; Spector, Daniel
3
2018
A decomposition by non-negative functions in the Sobolev space \(W^{k,1}\). Zbl 1453.46033
Ponce, Augusto; Spector, Daniel
3
2020
Fractional integration and optimal estimates for elliptic systems. Zbl 07845227
Hernandez, Felipe; Spector, Daniel
3
2024
Some remarks on \(L^1\) embeddings in the subelliptic setting. Zbl 1465.46033
Krantz, Steven G.; Peloso, Marco M.; Spector, Daniel
3
2021
A trace inequality for solenoidal charges. Zbl 1541.46018
Raiţă, Bogdan; Spector, Daniel; Stolyarov, Dmitriy
3
2023
Best constants for two families of higher order critical Sobolev embeddings. Zbl 1409.46029
Shafrir, Itai; Spector, Daniel
2
2018
BMO and elasticity: Korn’s inequality; local uniqueness in tension. Zbl 1465.74026
Spector, Daniel E.; Spector, Scott J.
2
2021
A note on estimates for elliptic systems with \(L^1\) data. (À propos d’estimations pour des systèmes elliptiques à données \(L^1\).) Zbl 1436.35147
Raita, Bogdan; Spector, Daniel
1
2019
Taylor’s theorem for functionals on BMO with application to BMO local minimizers. Zbl 1467.42039
Spector, Daniel E.; Spector, Scott J.
1
2021
Some remarks on capacitary integrals and measure theory. Zbl 1527.31014
Ponce, Augusto C.; Spector, Daniel
1
2023
Fractional integration and optimal estimates for elliptic systems. Zbl 07845227
Hernandez, Felipe; Spector, Daniel
3
2024
Endpoint \(L^1\) estimates for Hodge systems. Zbl 1511.35012
Hernandez, Felipe; Raiță, Bogdan; Spector, Daniel
4
2023
A trace inequality for solenoidal charges. Zbl 1541.46018
Raiţă, Bogdan; Spector, Daniel; Stolyarov, Dmitriy
3
2023
Some remarks on capacitary integrals and measure theory. Zbl 1527.31014
Ponce, Augusto C.; Spector, Daniel
1
2023
The fractional variation and the precise representative of \(BV^{\alpha,p}\) functions. Zbl 1505.46032
Comi, Giovanni E.; Spector, Daniel; Stefani, Giorgio
8
2022
On Korn-Maxwell-Sobolev inequalities. Zbl 1466.35007
Gmeineder, Franz; Spector, Daniel
7
2021
An improvement to the John-Nirenberg inequality for functions in critical Sobolev spaces. Zbl 1478.46036
Martínez, Ángel D.; Spector, Daniel
6
2021
Some remarks on \(L^1\) embeddings in the subelliptic setting. Zbl 1465.46033
Krantz, Steven G.; Peloso, Marco M.; Spector, Daniel
3
2021
BMO and elasticity: Korn’s inequality; local uniqueness in tension. Zbl 1465.74026
Spector, Daniel E.; Spector, Scott J.
2
2021
Taylor’s theorem for functionals on BMO with application to BMO local minimizers. Zbl 1467.42039
Spector, Daniel E.; Spector, Scott J.
1
2021
An optimal Sobolev embedding for \(L^1\). Zbl 1455.46039
Spector, Daniel
18
2020
A boxing inequality for the fractional perimeter. Zbl 1466.46029
Ponce, Augusto C.; Spector, Daniel
16
2020
New directions in harmonic analysis on \(L^1\). Zbl 1437.42037
Spector, Daniel
9
2020
A decomposition by non-negative functions in the Sobolev space \(W^{k,1}\). Zbl 1453.46033
Ponce, Augusto; Spector, Daniel
3
2020
A noninequality for the fractional gradient. Zbl 1453.46035
Spector, Daniel
14
2019
Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo’s lemma. Zbl 1442.46027
Spector, Daniel; van Schaftingen, Jean
13
2019
Uniqueness of equilibrium with sufficiently small strains in finite elasticity. Zbl 1482.74036
Spector, Daniel E.; Spector, Scott J.
4
2019
A note on estimates for elliptic systems with \(L^1\) data. (À propos d’estimations pour des systèmes elliptiques à données \(L^1\).) Zbl 1436.35147
Raita, Bogdan; Spector, Daniel
1
2019
On a new class of fractional partial differential equations. II. Zbl 1451.35257
Shieh, Tien-Tsan; Spector, Daniel E.
43
2018
Regularity for a fractional \(p\)-Laplace equation. Zbl 1386.35455
Schikorra, Armin; Shieh, Tien-Tsan; Spector, Daniel E.
16
2018
A remark on an integral characterization of the dual of BV. Zbl 1373.26009
Fusco, Nicola; Spector, Daniel
6
2018
Some remarks on boundary operators of Bessel extensions. Zbl 1374.35177
Goodman, Jesse; Spector, Daniel
3
2018
Best constants for two families of higher order critical Sobolev embeddings. Zbl 1409.46029
Shafrir, Itai; Spector, Daniel
2
2018
An \(L^1\)-type estimate for Riesz potentials. Zbl 1375.47039
Schikorra, Armin; Spector, Daniel; van Schaftingen, Jean
30
2017
On formulae decoupling the total variation of BV functions. Zbl 1359.26011
Ponce, Augusto C.; Spector, Daniel
15
2017
A note on the fractional perimeter and interpolation. (Une note sur le périmètre fractionnaire et l’interpolation.) Zbl 1385.46024
Ponce, Augusto C.; Spector, Daniel
4
2017
On a generalization of \(L^p\)-differentiability. Zbl 1355.46043
Spector, Daniel
5
2016
On a new class of fractional partial differential equations. Zbl 1330.35510
Shieh, Tien-Tsan; Spector, Daniel E.
62
2015
Localization of nonlocal gradients in various topologies. Zbl 1334.46031
Mengesha, Tadele; Spector, Daniel
34
2015
\(L^p\) theory for fractional gradient PDE with \(VMO\) coefficients. Zbl 1332.35384
Schikorra, Armin; Shieh, Tien-Tsan; Spector, Daniel
13
2015
On the role of Riesz potentials in Poisson’s equation and Sobolev embeddings. Zbl 1338.31011
Spector, Daniel; Garg, Rahul
11
2015
Analysis and application of a nonlocal Hessian. Zbl 1330.94010
Lellmann, Jan; Papafitsoros, Konstantinos; Schönlieb, Carola; Spector, Daniel
11
2015
On the regularity of solutions to Poisson’s equation. (Sur la régularité des solutions de l’équation de Poisson.) Zbl 1326.35088
Garg, Rahul; Spector, Daniel
8
2015
A Leray-Trudinger inequality. Zbl 1338.46048
Psaradakis, G.; Spector, D.
5
2015
\(L^p\)-Taylor approximations characterize the Sobolev space \(W^{1,p}\). (Les développements de Taylor-\(L^p\) caractérisent l’espace de Sobolev \(W^{1,p}\).) Zbl 1336.46033
Spector, Daniel
4
2015
Corrigendum to “Characterization of Sobolev and \(BV\) spaces”. Zbl 1308.46045
Leoni, Giovanni; Spector, Daniel
17
2014
Characterization of Sobolev and BV spaces. Zbl 1236.46032
Leoni, Giovanni; Spector, Daniel
51
2011
Simple proofs of some results of Reshetnyak. Zbl 1215.49025
Spector, Daniel
26
2011
all top 5

Cited by 344 Authors

29 Spector, Daniel E.
8 Du, Qiang
8 Stefani, Giorgio
7 Comi, Giovanni E.
7 Leoni, Giovanni
7 Nguyen, Hoai-Minh
7 Pinamonti, Andrea
7 Schikorra, Armin
7 Xiao, Jie
6 Bellido, José Carlos
6 Cueto, Javier
6 Mengesha, Tadele
6 Rodrigues, José Francisco
6 Yang, Dachun
6 Yuan, Wen
5 Kreisbeck, Carolin
5 Lakhal, Hakim
5 Lewintan, Peter
5 Liu, Liguang
5 Mora-Corral, Carlos
5 Neff, Patrizio
5 Squassina, Marco
5 Stolyarov, Dmitry M.
4 Abdellaoui, Boumediene
4 Gmeineder, Franz
4 Schönberger, Hidde
4 Tian, Xiaochuan
4 Vecchi, Eugenio
3 Afraites, Lekbir
3 Arroyo-Rabasa, Adolfo
3 Brézis, Haïm
3 Cianchi, Andrea
3 Cui, Xiaoyue
3 D’Elia, Marta
3 Fonseca, Irene
3 Gulian, Mamikon
3 Hadri, Aissam
3 Hu, Rui
3 Laghrib, Amine
3 Lahti, Panu
3 Lam, Nguyen
3 Li, Pengtao
3 Lu, Guozhen
3 Ponce, Augusto C.
3 Raită, Bogdan
3 Rindler, Filip
3 Santos, Lisa
3 Slimani, Kamel
3 Spector, Scott J.
3 Van Schaftingen, Jean
3 Younes, Abdelbadie
3 Zhai, Zhichun
3 Zhu, Chenfeng
2 Abada, Esma
2 Azevedo, Assis
2 Bergounioux, Maïtine
2 Biroud, Kheireddine
2 Bonicatto, Paolo
2 Campos, Pedro Miguel
2 Chambolle, Antonin
2 Choudhuri, Debajyoti
2 Crismale, Vito
2 De Luca, Lucia
2 De Pauw, Thierry
2 De Philippis, Guido
2 Fernández, Antonio J.
2 Ferreira, Rita
2 Francfort, Gilles A.
2 Giacomini, Alessandro
2 Hakim, Denny Ivanal
2 Hernandez, Felipe
2 Karniadakis, George Em
2 Kim, Inwon Christina
2 Kolyada, Viktor Ivanovich
2 Kubin, Andrea
2 Leaci, Antonio
2 Lo, Catharine Wing Kwan
2 Maouni, Messaoud
2 Milman, Mario Marcos
2 Mohanta, Kaushik
2 Müller, Stefan
2 Nachaoui, Mourad
2 Novaga, Matteo
2 Pan, Zhulei
2 Panda, Akasmika
2 Pedregal, Pablo
2 Ponsiglione, Marcello
2 Psaradakis, Georgios
2 Ribeiro, Ana Margarida
2 Saadi, Chaima
2 Scott, James M.
2 Shieh, Tien-Tsan
2 Šilhavý, Miroslav
2 Stefanelli, Ulisse
2 Tice, Ian
2 Tomarelli, Franco
2 Zhang, Yangyang
2 Zhou, Zhi
1 Alberico, Angela
1 Alonso-Ruiz, Patricia
...and 244 more Authors
all top 5

Cited in 108 Serials

24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
17 Calculus of Variations and Partial Differential Equations
14 Journal of Functional Analysis
7 The Journal of Geometric Analysis
7 Communications in Contemporary Mathematics
7 Advances in Calculus of Variations
6 Fractional Calculus & Applied Analysis
5 Mathematische Annalen
5 Mathematics in Engineering
4 Mathematical Methods in the Applied Sciences
4 Advances in Mathematics
4 Proceedings of the American Mathematical Society
4 Journal of Elasticity
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Archive for Rational Mechanics and Analysis
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 SIAM Journal on Imaging Sciences
3 Advances in Nonlinear Analysis
2 Computers & Mathematics with Applications
2 Computer Methods in Applied Mechanics and Engineering
2 Journal d’Analyse Mathématique
2 Journal of Mathematical Analysis and Applications
2 Nonlinearity
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Applied Mathematics and Optimization
2 Indiana University Mathematics Journal
2 Journal of Differential Equations
2 Transactions of the American Mathematical Society
2 Revista Matemática Iberoamericana
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 SIAM Journal on Mathematical Analysis
2 Continuum Mechanics and Thermodynamics
2 Potential Analysis
2 Discrete and Continuous Dynamical Systems
2 Revista Matemática Complutense
2 Communications on Pure and Applied Analysis
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Oberwolfach Reports
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Complex Variables and Elliptic Equations
2 Inverse Problems and Imaging
2 Bulletin of Mathematical Analysis and Applications
2 Journal of Elliptic and Parabolic Equations
2 Portugaliae Mathematica
1 Analysis Mathematica
1 Communications in Mathematical Physics
1 Communications on Pure and Applied Mathematics
1 Inverse Problems
1 Journal of Computational Physics
1 Rocky Mountain Journal of Mathematics
1 Studia Mathematica
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Chaos, Solitons and Fractals
1 Annales de l’Institut Fourier
1 Archiv der Mathematik
1 Czechoslovak Mathematical Journal
1 Journal of Approximation Theory
1 Mathematische Nachrichten
1 Michigan Mathematical Journal
1 Numerische Mathematik
1 Proceedings of the London Mathematical Society. Third Series
1 Quarterly of Applied Mathematics
1 Real Analysis Exchange
1 Ricerche di Matematica
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Boletim da Sociedade Portuguesa de Matemática
1 Neural Networks
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Geometric and Functional Analysis. GAFA
1 Communications in Partial Differential Equations
1 Journal of Mathematical Imaging and Vision
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Applied Mathematics. Series B (English Edition)
1 Applied and Computational Harmonic Analysis
1 Journal of Mathematical Sciences (New York)
1 Journal of Inverse and Ill-Posed Problems
1 NoDEA. Nonlinear Differential Equations and Applications
1 Journal of Convex Analysis
1 Journal of Applied Analysis
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Journal of the European Mathematical Society (JEMS)
1 Journal of Evolution Equations
1 Discrete and Continuous Dynamical Systems. Series B
1 Portugaliae Mathematica. Nova Série
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Multiscale Modeling & Simulation
1 Journal of the Indonesian Mathematical Society
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Fixed Point Theory and Applications
1 Banach Journal of Mathematical Analysis
1 Discrete and Continuous Dynamical Systems. Series S
1 Analysis & PDE
1 Numerical Mathematics: Theory, Methods and Applications
1 Confluentes Mathematici
1 Journal of Pseudo-Differential Operators and Applications
1 Analysis and Mathematical Physics
1 Bulletin of Mathematical Sciences
1 Communications in Applied and Industrial Mathematics
1 S\(\vec{\text{e}}\)MA Journal
...and 8 more Serials

Citations by Year