STRONGLY SINGULAR INTEGRAL OPERATORS ON TRIEBEL-LIZORKIN SPACE

TitleSTRONGLY SINGULAR INTEGRAL OPERATORS ON TRIEBEL-LIZORKIN SPACE
Publication TypeJournal Article
Year of Publication2006
AuthorsLin, Y, Lu, S
Secondary TitleCommunications in Applied Analysis
Volume10
Issue3
Start Page293
Pagination312
Date Published08/2006
Type of Workscientific: mathematics
ISSN1083–2564
AMS42B20, 46E35, 47B35
Abstract

In this paper, the boundedness of two classes of operators is discussed from the Lebesgue spaces to the Triebel-Lizorkin spaces. One is the commutator generated by the strongly singular convolution operator and Lipschitz function, the other one is the generalized Toeplitz operator generated by a class of strongly singular Calder on-Zygmund operators and Lipschitz function. Moreover, the corresponding result of the commutator
generated by fractional integral operator and Lipschitz function can be deduced immediately.
URLhttp://www.acadsol.eu/en/articles/10/3/3.pdf
Short TitleStrongly Singular Integral Operators
Refereed DesignationRefereed
Full Text

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