Boundedness of Convolution-Type Operators on Endpoint Triebel-Lizorkin Spaces
Received:May 25, 2009  Revised:May 28, 2010
Key Words: convolution-type Calder\'{o}n-Zygmund operators   endpoint Triebel-Lizorkin spaces   wavelets   molecular decomposition.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10871209) and Research Fund for the Doctoral Program of Higher Education (Grant No.20090141120010).
Author NameAffiliation
Zhan Ying YANG School of Mathematics and statistics, South-Central University for Nationalities, Hubei 430074, P. R. China 
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Abstract:
      This paper focuses on the study of the boundedness of convolution-type Calder\'{o}n-Zygmund operators on some endpoint Triebel-Lizorkin spaces. Applying wavelets, molecular decomposition and interpolation theory, the author establishes the boundedness on certain endpoint Triebel-Lizorkin spaces $\dot{F}_1^{0,q}~(2
Citation:
DOI:10.3770/j.issn:1000-341X.2011.05.012
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