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- Title
Pointwise characterizations of variable Besov and Triebel-Lizorkin spaces via Hajłasz gradients.
- Authors
He, Yu; Sun, Qi; Zhuo, Ciqiang
- Abstract
Let p (·) , q (·) and α (·) be variable exponents satisfying some Hölder continuous conditions. In this paper, the authors characterize the variable inhomogeneous Besov space B p (·) , q (·) α (·) (R n) and the variable inhomogeneous Triebel-Lizorkin space F p (·) , q (·) α (·) (R n) in terms of Hajłasz gradient, via establishing the boundedness of a kind of almost diagonal operator A on the corresponding sequence spaces.
- Subjects
BESOV spaces; HOLDER spaces; SEQUENCE spaces; EXPONENTS
- Publication
Fractional Calculus & Applied Analysis, 2024, Vol 27, Issue 2, p944
- ISSN
1311-0454
- Publication type
Article
- DOI
10.1007/s13540-024-00239-7