Home > Search Results: Sobolev spaces
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Results overview: Found 20 records in 0.02 seconds.
Articles, 18 records found
Books and collections, 1 records found
Research literature, 1 records found
Articles 18 records found  1 - 10next  jump to record:
1.
14 p, 535.0 KB Beltrami equations in the plane and Sobolev regularity / Prats, Martí (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
New results regarding the Sobolev regularity of the principal solution of the linear Beltrami equation (formula presented) Bf for discontinuous Beltrami coefficients μ and v are obtained, using Kato-Ponce commutators, obtaining that Bf belongs to a Sobolev space with the same smoothness as the coefficients but some loss in the integrability parameter. [...]
2018 - 10.3934/cpaa.2018018
Communications on Pure and Applied Analysis, Vol. 17, Issue 2 (March 2018) , p. 319-332  
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2.
19 p, 574.3 KB Sharp bounds for composition with quasiconformal mappings in Sobolev spaces / Oliva, Marcos (Universidad Autónoma de Madrid. Departamento de Matemáticas) ; Prats, Martí (Universidad Autónoma de Madrid. Departamento de Matemáticas)
Let φ be a quasiconformal mapping, and let Tφ be the composition operator which maps f to f ˝ φ. Since φ may not be bi-Lipschitz, the composition operator need not map Sobolev spaces to themselves. [...]
2017 - 10.1016/j.jmaa.2017.02.016
Journal of mathematical analysis and applications, Vol. 451, Issue 2 (July 2017) , p. 1026-1044  
Detailed record - Creative Commons
3.
36 p, 800.9 KB A T(P) theorem for Sobolev spaces on domains / Prats, Martí (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Tolsa Domènech, Xavier (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Recently, V. Cruz, J. Mateu and J. Orobitg have proved a T(1) theorem for the Beurling transform in the complex plane. It asserts that given 0 < s 1, 1 p ∞ with sp 2 and a Lipschitz domain Ω ⊂ C, the Beurling transform Bf = −p. [...]
2015 - 10.1016/j.jfa.2015.01.007
Journal of Functional Analysis, Vol. 268, Issue 10 (May 2015) , p. 2946-2989  
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4.
26 p, 361.3 KB Extrapolation theory for the real interpolation method / Carro, María J. (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi) ; Martín i Pedret, Joaquim (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi)
We develop an abstract extrapolation theory for the real interpolation method that covers and improves the most recent versions of the celebrated theorems of Yano and Zygmund. As a consequence of our method, we give new endpoint estimates of the embedding Sobolev theorem for an arbitrary domain Ω.
2002
Collectanea mathematica, Vol. 53, Issue 2 (2002) , p. 165-186  
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5.
27 p, 431.2 KB Symmetrization inequalities in the fractional case and Besov embeddings / Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We prove new extended forms of the Pólya-Szegö symmetrization principle in the fractional case. As a consequence we determine new results for rearrangement invariant hulls of generalized Besov spaces.
2008 - 10.1016/j.jmaa.2008.02.028
Journal of mathematical analysis and applications, Vol. 344, Issue 1 (August 2008) , p. 99-123  
Detailed record - Creative Commons
6.
22 p, 405.8 KB Higher-order symmetrization inequalities and applications / Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Milman, Mario (Florida Atlantic University. Department of Mathematics)
We prove new extended forms of the Pólya-Szegö symmetrization principle. As a consequence new sharp embedding theorems for generalized Sobolev and Besov spaces are proved.
2007 - 10.1016/j.jmaa.2006.07.033
Journal of mathematical analysis and applications, Vol. 330, Issue 1 (June 2007) , p. 91-113  
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7.
14 p, 498.0 KB Symmetrization inequalities and Sobolev emmbedings / Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Milman, Mario (Florida Atlantic University. Department of Mathematics)
We prove new extended forms of the Pólya-Szegö symmetrization principle. As a consequence new sharp embedding theorems for generalized Besov spaces are proved, including a sharpening of the limiting cases of the classical Sobolev embedding theorem. [...]
2006
Proceedings of the American Mathematical Society, Vol. 134, Issue 8 (February 2006) , p. 2335-2347  
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8.
32 p, 606.3 KB A Sobolev type embedding theorem for Besov spaces defined on doubling metric spaces / Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Ortiz Vargas, Walter Andrés (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We obtain a Sobolev type embedding result for Besov spaces defined on a doubling measure metric space.
2019 - 10.1016/j.jmaa.2019.07.032
Journal of mathematical analysis and applications, Vol. 479, Issue 2 (November 2019) , p. 2302-2337  
Detailed record - Creative Commons
9.
14 p, 440.2 KB Sobolev Embeddings for Fractional Hajłasz-Sobolev Spaces in the Setting of Rearrangement Invariant Spaces / Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Ortiz Vargas, Walter Andrés (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We obtain symmetrization inequalities in the context of Fractional Hajłasz-Sobolev spaces in the setting of rearrangement invariant spaces and prove that for a large class of measures our symmetrization inequalities are equivalent to the lower bound of the measure.
2022 - 10.1007/s11118-022-10006-z
Potential Analysis, (May 2022)  
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10.
13 p, 335.5 KB Hardy inequalities in fractional Orlicz-Sobolev spaces / Salort, Ariel (Universidad de Buenos Aires. Departamento de Matemática)
In this article we prove both norm and modular Hardy inequalities for class functions in one-dimensional fractional Orlicz-Sobolev spaces.
2022 - 10.5565/PUBLMAT6612207
Publicacions matemàtiques, Vol. 66 Núm. 1 (2022) , p. 183-195 (Articles)  
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Articles : 18 records found   1 - 10next  jump to record:
Books and collections 1 records found  
1.
10 p, 324.5 KB A note on Sobolev inequalities and limits of Lorentz spaces / Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Milman, Mario (Florida Atlantic University. Department of Mathematics)
Motivated by the theory of Sobolev embeddings we shall present a new way to obtain L∞ estimates by means of taking limits of Lorentz spaces (*extrapolation*). Although our result is independent from the theory of embeddings we thought it would be worthwhile to present rather succinctly the issues that motivated us. [...]
Providence, Rhode Island : American Mathematical Society, 2007 (Contemporary Mathematics) - 10.1090/conm/445
Interpolation Theory and Applications, Vol. 445 (2007) , p. 237-245  
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Research literature 1 records found  
1.
157 p, 2.5 MB Singular integral operators on sobolev spaces on domains and quasiconformal mappings / Prats, Martí ; Tolsa Domènech, Xavier, dir. (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Universitat Autònoma de Barcelona. Departament de Matemàtiques
[Barcelona] : Universitat Autònoma de Barcelona, 2015  
Detailed record - Creative Commons

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