Pointwise characterization of Besov and Triebel–Lizorkin spaces on spaces of homogeneous type
From MaRDI portal
Publication:5058614
DOI10.4064/sm210621-29-4OpenAlexW4288468381MaRDI QIDQ5058614
Ryan Alvarado, Wen Yuan, Fan Wang, Da Chun Yang
Publication date: 21 December 2022
Published in: Studia Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.10196
Besov spacespace of homogeneous typeTriebel-Lizorkin spaceHajłasz-Sobolev spacepointwise characterizationHajłasz-Triebel-Lizorkin spacegrand Triebel-Lizorkin space
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 on metric spaces; analysis on metric spaces (46E36)
Related Items
Difference characterization of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type ⋮ Real-variable characterizations and their applications of matrix-weighted Besov spaces on spaces of homogeneous type ⋮ Traces of Sobolev spaces on piecewise Ahlfors-David regular sets ⋮ Compact embeddings, eigenvalue problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups ⋮ Molecular decompositions of homogeneous Besov type spaces for Laguerre function expansions and applications ⋮ Besov and Triebel–Lizorkin spaces on spaces of homogeneous type with applications to boundedness of Calderón–Zygmund operators
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