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Analysis Seminar

Wednesday, 16 April, 2014

SPEAKER: Prof. Kunchuan Wang, National Dong Hwa University College of Science and Engineering

TITLE:  Function Spaces and Calderon-Zygmund Operators

ABSTRACT: We first introduce several types of wavelet expansions.  From these expansions, we characterize some function spaces, for example, Triebel-Lizorkin spaces, which include classical function spaces such as the Lebesgue spaces $L^p$, the Hardy spaces $H^p$, and the Sobolev spaces $W^{k,p}$. We obtain necessary and sufficient conditions for certain operators of Calderon-Zygmund type to be bounded on these function spaces, in terms of appropriate Carleson measure conditions.


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