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

THE BOUNDEDNESS OF TOEPLITZ-TYPE OPERATORS ON VANISHING-MORREY SPACES
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摘要 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. 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.
出处 《Analysis in Theory and Applications》 2011年第4期309-319,共11页 分析理论与应用(英文刊)
基金 Supported by NNSF(10961015, 10871173) the NSF of Jiangxi province (2008GZS0051) the growth foundation of Jxnu(2714) the NSF of teaching derision of Jiangxi province (GJJ10397)
关键词 Toeplitz-type operator generalized fractional integral vanishing-Morreyspace Toeplitz-type operator, generalized fractional integral, vanishing-Morreyspace
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参考文献9

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