Variable Besov-type Spaces

Variable Besov-type Spaces

In this paper we introduce Besov-type spaces with variable smoothness and integrability. We show that these spaces are characterized by the φ-transforms in appropriate sequence spaces and we obtain atomic decompositions for these spaces. Moreover the Sobolev embeddings for these function spaces are...

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Veröffentlicht in:Acta mathematica Sinica. English series 2023-04, Vol.39 (4), p.553-583
Hauptverfasser: Zeghad, Zouheyr, Drihem, Douadi
Format: Artikel
Sprache:eng
Schlagworte:
Atomic layer epitaxy
Atoms
Embedding
Function space
Mathematics
Mathematics and Statistics
Smoothness
Sobolev space
Variables
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Zusammenfassung:In this paper we introduce Besov-type spaces with variable smoothness and integrability. We show that these spaces are characterized by the φ-transforms in appropriate sequence spaces and we obtain atomic decompositions for these spaces. Moreover the Sobolev embeddings for these function spaces are obtained.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-022-1223-2