The grand Lusin‐area characterization of Hajłasz‐Sobolev spaces and Triebel‐Lizorkin spaces

DOI10.1002/mana.201100161zbMath1280.42014OpenAlexW1991173080MaRDI QIDQ4925039

Wen Yuan, Xiaojuan Jiang, Da Chun Yang

Publication date: 11 June 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201100161

zbMATH Keywords

Triebel-Lizorkin spaceCalderón reproducing formulaHajłasz-Sobolev spacedyadic cubeRD-spacegrand Lusin-area function

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (2)

Sobolev functions in the critical case are uniformly continuous in $s$-Ahlfors regular metric spaces when $s\le 1$ ⋮ Wavelet characterization of Triebel-Lizorkin spaces for \(p = \infty\) on spaces of homogeneous type and its applications

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