THE BOUNDEDNESS OF TOEPLITZ-TYPE OPERATORS ON VANISHING-MORREY SPACES

In this note, we prove that the Toeplitz-type Operator b a generated by the generalized fractional integral, Calderon-Zygmund operator and VMO funtion is bounded from L^p,λ（R^n） to L^q,μ（R^n） . We also show that under some conditions Ob af ∈ VL^q,μ（BR） , the vanishing-Morrey space.

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Bibliographic Details
Published in	Analysis in theory & applications Vol. 27; no. 4; pp. 309 - 319
Main Authors	Cao, Xiaoniu, Chen, Dongxiang
Format	Journal Article
Language	English
Published	Heidelberg Editorial Board of Analysis in Theory and Applications 01.12.2011 Jiangxi Normal UniversityNanchang, 330022P. R. China
Subjects	Analysis Approximations and Expansions d算子 Mathematics Mathematics and Statistics Morrey空间 Toeplitz型算子分数次积分有界性注册商标 vanishing-Morrey space generalized fractional integral 42B25 42B30 Toeplitz-type operator
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ISSN	1672-4070 1573-8175
DOI	10.1007/s10496-011-0309-y

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Summary:	In this note, we prove that the Toeplitz-type Operator b a generated by the generalized fractional integral, Calderon-Zygmund operator and VMO funtion is bounded from L^p,λ（R^n） to L^q,μ（R^n） . We also show that under some conditions Ob af ∈ VL^q,μ（BR） , the vanishing-Morrey space.
Bibliography:	32-1631/O1 Toeplitz-type operator, generalized fractional integral, vanishing-Morreyspace In this note, we prove that the Toeplitz-type Operator b a generated by the generalized fractional integral, Calderon-Zygmund operator and VMO funtion is bounded from L^p,λ（R^n） to L^q,μ（R^n） . We also show that under some conditions Ob af ∈ VL^q,μ（BR） , the vanishing-Morrey space.
ISSN:	1672-4070 1573-8175
DOI:	10.1007/s10496-011-0309-y