A mean characterization of weighted anisotropic Besov and Triebel-Lizorkin spaces

DOI10.4171/ZAA/1503zbMath1306.46038OpenAlexW1967448091MaRDI QIDQ2453199

Wen Yuan, Baode Li, Marcin Bownik, Da Chun Yang

Publication date: 6 June 2014

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1503

zbMATH Keywords

Besov spaceMuckenhoupt weightTriebel-Lizorkin spaceanisotropic expansive dilationsquare function

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) 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 (6)

Littlewood-Paley characterizations of anisotropic Hardy-Lorentz spaces ⋮ Anisotropic Hardy-Lorentz spaces and their applications ⋮ Littlewood-Paley characterizations of weighted anisotropic Triebel-Lizorkin spaces via averages on balls. II. ⋮ A classification of anisotropic Besov spaces ⋮ Littlewood-Paley characterizations of weighted anisotropic Triebel-Lizorkin spaces via averages on balls. I ⋮ Atomic and Littlewood-Paley characterizations of anisotropic mixed-norm Hardy spaces and their applications

Cites Work

• A new characterization of Sobolev spaces on \({\mathbb{R}^{n}}\)
• Anisotropic Triebel-Lizorkin spaces with doubling measures
• Duality and interpolation of anisotropic Triebel-Lizorkin spaces
• Atomic and molecular decompositions of anisotropic Besov spaces
• Weighted anisotropic Hardy spaces and their applications in boundedness of sublinear operators
• Anisotropic Hardy spaces and wavelets
• Atomic and molecular decompositions of anisotropic Triebel-Lizorkin spaces

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