Geometric characterization of Ahlfors regular spaces in terms of dyadic cubes related to wavelets with its applications to equivalences of Lipschitz spaces

DOI10.1016/j.exmath.2024.125574MaRDI QIDQ6595852

Wen Yuan, Dachun Yang, Fan Wang

Publication date: 30 August 2024

Published in: Expositiones Mathematicae (Search for Journal in Brave)

zbMATH Keywords

Besov spaceLipschitz spacespace of homogeneous typeTriebel-Lizorkin spacelower (upper) boundAhlfors \(d\)-regular space

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on metric spaces (30L99) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

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