Approximation by functions of compact support in Besov-Triebel-Lizorkin spaces on irregular domains

António Caetano

Displaying similar documents to “Approximation by functions of compact support in Besov-Triebel-Lizorkin spaces on irregular domains”

Traces of Besov spaces on fractal h-sets and dichotomy results

António M. Caetano, Dorothee D. Haroske (2015)

Studia Mathematica

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We study the existence of traces of Besov spaces on fractal h-sets Γ with a special focus on assumptions necessary for this existence; in other words, we present criteria for the non-existence of traces. In that sense our paper can be regarded as an extension of Bricchi (2004) and a continuation of Caetano (2013). Closely connected with the problem of existence of traces is the notion of dichotomy in function spaces: We can prove that-depending on the function space and the set Γ-there...

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The trace of Sobolev and Besov spaces if 0 < p < 1

Björn Jaweth (1978)

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Luigi Ambrosio, Gianluca Crippa, Stefania Maniglia (2005)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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The Trace of Sobolev-Slobodeckij spaces on Lipschitz domains.

Jürgen Marschall (1987)

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Brézis-Gallouët-Wainger type inequality for Besov-Morrey spaces

Yoshihiro Sawano (2010)

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The aim of the present paper is to obtain an inequality of Brézis-Gallouët-Wainger type for Besov-Morrey spaces. We investigate these spaces in a self-contained manner. Also, we verify that our result is sharp.

Embeddings of Sobolev spaces

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Traces of functions with a dominating mixed derivative in $ℝ^{3}$

Jan Vybíral, Winfried Sickel (2007)

Czechoslovak Mathematical Journal

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We investigate traces of functions, belonging to a class of functions with dominating mixed smoothness in $ℝ^{3}$ , with respect to planes in oblique position. In comparison with the classical theory for isotropic spaces a few new phenomenona occur. We shall present two different approaches. One is based on the use of the Fourier transform and restricted to $p = 2$ . The other one is applicable in the general case of Besov-Lizorkin-Triebel spaces and based on atomic decompositions.