Variable Triebel–Lizorkin-Type Spaces

Variable Triebel–Lizorkin-Type Spaces

In this paper, we study Triebel–Lizorkin-type spaces with variable smoothness and integrability. We show that our space is well-defined, i.e., independent of the choice of basis functions and we obtain their atomic characterization. Moreover, the Sobolev embeddings for these function spaces are obta...

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Veröffentlicht in:Bulletin of the Malaysian Mathematical Sciences Society 2020-03, Vol.43 (2), p.1817-1856
1. Verfasser: Drihem, Douadi
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Basis functions
Function space
Mathematics
Mathematics and Statistics
Smoothness
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Zusammenfassung:In this paper, we study Triebel–Lizorkin-type spaces with variable smoothness and integrability. We show that our space is well-defined, i.e., independent of the choice of basis functions and we obtain their atomic characterization. Moreover, the Sobolev embeddings for these function spaces are obtained.
ISSN:0126-6705
2180-4206
DOI:10.1007/s40840-019-00776-y