New characterizations of Besov and Triebel--Lizorkin spaces over spaces of homogeneous type

DOI10.1016/j.jmaa.2006.01.068zbMath1105.42012OpenAlexW1991363351MaRDI QIDQ854050

Yanchang Han, Yanbo Xu

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.01.068

zbMATH Keywords

Besov spaceTriebel-Lizorkin spaceCalderón reproducing formulaT1 theoremPlancherel-Pôlya inequalities

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items

\(T1\) theorem for inhomogeneous Triebel-Lizorkin and Besov spaces on RD-spaces and its application, New characterizations of inhomogeneous Besov and Triebel-Lizorkin spaces over spaces of homogeneous type, A Plancherel-Polya inequality in Besov spaces on spaces of homogeneous type

Cites Work

• A discrete transform and decompositions of distribution spaces
• Lipschitz functions on spaces of homogeneous type
• Discrete Calderón-type reproducing formula
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• \(T1\) theorem for Besov and Triebel-Lizorkin spaces
• Plancherel-Pôlya type inequality on spaces of homogeneous type and its applications
• Littlewood-Paley theory on spaces of homogeneous type and the classical function spaces
• A T(b) theorem with remarks on analytic capacity and the Cauchy integral
• New characterizations and applications of inhomogeneous Besov and Triebel–Lizorkin spaces on homogeneous type spaces and fractals
• Some Maximal Inequalities