UAB Digital Repository of Documents 65 records found  1 - 10nextend  jump to record: Search took 0.02 seconds. 
1.
28 p, 537.8 KB Uniform convergence of {Hankel} transforms / Debernardi Pinos, Alberto (Universitat Autònoma de Barcelona)
We investigate necessary and/or sufficient conditions for the pointwise and uniform convergence of the weighted Hankel transforms [fórmula] where ν, μ ∈ R are such that 0 ≤ μ + ν ≤ α + 3/2. [...]
2018 - 10.1016/j.jmaa.2018.09.001
Journal of Mathematical Analysis and Applications, Vol. 468, Issue 2 (December 2018) , p. 1189-1206  
2.
15 p, 716.4 KB A note on Hurwitz's inequality / Cufí Sobregrau, Julià, 1945- (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gallego Gómez, Eduardo (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Reventós, Agustí (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Given a simple closed plane curve Γ of length L enclosing a compact convex set K of area F, Hurwitz found an upper bound for the isoperimetric deficit, namely L2−4πF≤π|Fe|, where Fe is the algebraic area enclosed by the evolute of Γ. [...]
2018 - 10.1016/j.jmaa.2017.09.017
Journal of mathematical analysis and applications, Vol. 458, Issue 1 (February 2018) , p. 436-451  
3.
17 p, 416.7 KB Distributional solutions of the Beltrami equation / Baisón Olmo, Antonio L. (Universidad Autónoma Metropolitana - Azcapotzalco (Mèxic). Departamento de Ciencias Básicas (Mexico)) ; Clop, Albert (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Orobitg i Huguet, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We study the distributional solutions to the (generalized) Beltrami equation under Sobolev assumptions on the Beltrami coefficients. In this setting, we prove that these distributional solutions are true quasiregular maps and they are smoother than expected, that is, they have second order derivatives in Lloc1+ε, for some ε>0.
2019 - 10.1016/j.jmaa.2018.10.050
Journal of mathematical analysis and applications, Vol. 470, Issue 2 (February 2019) , p. 1081-1094  
4.
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  
5.
17 p, 388.0 KB New Lorentz spaces for the restricted weak-type Hardy's inequalities / Martín i Pedret, Joaquim (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi) ; Soria, Javier (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi)
Associated to the class of restricted-weak type weights for the Hardy operator Rp, we find a new class of Lorentz spaces for which the normability property holds. This result is analogous to the characterization given by Sawyer for the classical Lorentz spaces. [...]
2003 - 10.1016/S0022-247X(02)00584-X
Journal of mathematical analysis and applications, Vol. 281, Issue 1 (May 2003) , p. 138-152  
6.
22 p, 364.3 KB Entropy function spaces and interpolation / Cerdà Martín, Joan Lluís (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Coll, Heribert (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We associate to every function space, and to every entropy function E, a scale of spaces Λp,q (E) similar to the classical Lorentz spaces Lp,q. Necessary and sufficient conditions for they to be normed spaces are proved, their role in real interpolation theory is analyzed, and a number of applications to functional and interpolation properties of several variants of Lorentz spaces and entropy spaces are given.
2005 - 10.1016/j.jmaa.2004.09.026
Journal of mathematical analysis and applications, Vol. 304, Issue 1 (April 2005) , p. 269-295  
7.
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  
8.
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  
9.
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  
10.
14 p, 519.0 KB Sobolev embedding into BMO and weak-L∞ for 1-dimensional probability measure / Feo, Filomena (Università degli Studi di Napoli Parthenope. Dipartimento di Ingegneria) ; Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Posteraro, Maria Rosaria (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We characterize rearrangement invariant spaces X with respect to a suitable 1-dimensional probability μ (e. g. log-concave measure) such that the Sobolev embedding{norm of matrix}u{norm of matrix}BMO(R,μ)≤C({norm of matrix}u'{norm of matrix}X+{norm of matrix}u{norm of matrix}L1(R,μ)) holds for any function u∈L1(R,μ), whose real-valued weakly derivative u' belongs to X. [...]
2015 - 10.1016/j.jmaa.2014.08.045
Journal of mathematical analysis and applications, Vol. 422, Issue 1 (February 2015) , p. 478-495  

UAB Digital Repository of Documents : 65 records found   1 - 10nextend  jump to record:
Interested in being notified about new results for this query?
Set up a personal email alert or subscribe to the RSS feed.