UAB Digital Repository of Documents 5 records found  Search took 0.02 seconds. 
1.
Triebel-Lizorkin regularity and bi-Lipschitz maps : Composition operator and inverse function regularity / Prats, Martí (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We study the stability of Triebel-Lizorkin regularity of bounded functions and Lipschitz functions under bi-Lipschitz changes of variables and the regularity of the inverse function of a Triebel-Lizorkin bi-Lipschitz map in Lipschitz domains. [...]
2024 - 10.1016/j.jat.2023.105985
Journal of approximation theory, Vol. 297 (January 2024) , art. 105985  
2.
28 p, 596.2 KB Modes of convergence : Interpolation Methods I / Martín i Pedret, Joaquim (Universitat de Barcelona. Departament de Matemàtiques) ; Milman, Mario (Florida Atlantic University. Department of Mathematics)
In the present paper we explore an approximation theoretic approach to some classical convergence theorems of real analysis. The background of this paper is the intuition that some of the usual compactness theorems on various modes of convergence in classical analysis are based on suitable ways of obtaining good decompositions of functions to exploit rates of approximation, cancellations, or appropriate control of sizes that can be controlled by the basic functionals of real interpolation.
2001 - 10.1006/jath.2000.3564
Journal of approximation theory, Vol. 111, Issue 1 (July 2001) , p. 91-127  
3.
21 p, 503.1 KB Reverse Hölder inequalities and approximation spaces / Martín i Pedret, Joaquim (Universitat de Barcelona. Departament de Matemàtiques) ; Milman, Mario (Florida Atlantic University. Department of Mathematics)
We develop a simple geometry free context where one can formulate and prove general forms of Gehring's Lemma. We show how our result follows from a general inverse type reiteration theorem for approximation spaces.
2001 - 10.1006/jath.2000.3531
Journal of approximation theory, Vol. 109, Issue 1 (March 2001) , p. 82-109  
4.
22 p, 396.0 KB On interpolation of function spaces by methods defined by means of polygons / Cobos, Fernando (Universidad Complutense de Madrid. Departamento de Análisis Matemático y Matemática Aplicada) ; Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We describe the spaces obtained by applying the interpolation methods associated to polygons to N-tuples of weighted Lp-spaces, N-tuples of classical Lorentz spaces and some other N-tuples of function spaces.
2005 - 10.1016/j.jat.2004.12.002
Journal of approximation theory, Vol. 132, Issue 2 (February 2005) , p. 182-203  
5.
13 p, 312.4 KB Commutators for fourier multipliers on Besov spaces / Cerdà Martín, Joan Lluís (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi) ; Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
If T is any bounded linear operator on Besov spaces Bpσj,qj(Rn)(j=0,1, and 0<σ1<σ<σ0), it is proved that the commutator [T,Tμ]=TTμ -TμT is bounded on Bpσ,q (Rn), if Tμ is a Fourier multiplier such that μ is any (possibly unbounded) symbol with uniformly bounded variation on dyadic coronas.
2004 - 10.1016/j.jat.2004.03.007
Journal of approximation theory, Vol. 129, Issue 2 (August 2004) , p. 119-128  

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