Inhomogeneous Besov and Triebel-Lizorkin spaces associated with a para-accretive function and their applications

Inhomogeneous Besov and Triebel-Lizorkin spaces associated with a para-accretive function and their applications

In this paper, using inhomogeneous Calderón’s reproducing formulas and the space of test functions associated with a para-accretive function, the inhomogeneous Besov and Triebel-Lizorkin spaces are established. As applications, pointwise multiplier theorems are also obtained.

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Veröffentlicht in:Applied Mathematics-A Journal of Chinese Universities 2023-12, Vol.38 (4), p.493-509
Hauptverfasser: Liao, Fang-hui, Liu, Zong-guang, Zhang, Xiao-jin
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Mathematics
Mathematics and Statistics
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Zusammenfassung:In this paper, using inhomogeneous Calderón’s reproducing formulas and the space of test functions associated with a para-accretive function, the inhomogeneous Besov and Triebel-Lizorkin spaces are established. As applications, pointwise multiplier theorems are also obtained.
ISSN:1005-1031
1993-0445
DOI:10.1007/s11766-023-3499-0