\(Tb\) theorem for Triebel-Lizorkin spaces over spaces of homogeneous type and their applications

DOI10.1007/BF03191182zbMath1202.42028MaRDI QIDQ848656

Yanchang Han

Publication date: 4 March 2010

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/42029

zbMATH Keywords

space of homogeneous typeTriebel-Lizorkin space\(Tb\) theoremCalderón reproducing formulaPlancherel-Pôlya inequality

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on metric spaces (30L99)

Related Items (3)

The \(Tb\) theorem for inhomogeneous Besov and Triebel-Lizorkin spaces and its application ⋮ \(T1\) theorem on homogeneous product Besov spaces and product Triebel-Lizorkin spaces ⋮ A study of one-sided singular integral and function space via reproducing formula

Cites Work

• Unnamed Item
• A discrete transform and decompositions of distribution spaces
• Para-accretive functions, the weak boundedness property and the Tb theorem
• A boundedness criterion for generalized Calderón-Zygmund operators
• Opérateurs de Calderón-Zygmund, fonctions para-accrétives et interpolation. (Calderón-Zygmund operators, para-accretive functions and interpolation)
• Lipschitz functions on spaces of homogeneous type
• Calderón-type reproducing formula and the \(Tb\) theorem
• Hardy spaces and the \(Tb\) Theorem
• 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 new Besov and Triebel-Lizorkin spaces associated with para-accretive functions on spaces of homogeneous type
• Some Maximal Inequalities

This page was built for publication: \(Tb\) theorem for Triebel-Lizorkin spaces over spaces of homogeneous type and their applications