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1. $Tb$ theorems for Triebel-Lizorkin spaces over special spaces of homogeneous type and their applications

Author

Yanchang Han

Subjects
Pure mathematics, Mathematics::Functional Analysis, Functional analysis, Applied Mathematics, General Mathematics, Mathematical analysis, Mathematics::Classical Analysis and ODEs, Type (model theory), Characterization (mathematics), Space (mathematics), Fréchet space, Interpolation space, Birnbaum–Orlicz space, Lp space, Mathematics
Abstract

The author first establishes the $Tb$ theorems for Triebel-Lizorkin spaces by the discrete Calderón type reproducing formula and the Plancherel-P\^{o}lya characterization for the Triebel-Lizorkin spaces. As an application of the $Tb$ theorems, new characterizations of Triebel-Lizorkin spaces with minimum regularity and cancellation conditions are given over special spaces of homogeneous type.

Published
2008

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