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The boundedness of Toeplitz-type Operators on vanishing-morrey spaces

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Analysis in Theory and Applications

Abstract

In this note, we prove that the Toeplitz-type Operator Θ b α generated by the generalized fractional integral, Calderón-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 Θ b α f ∈ VL q, µ(B R ), the vanishing-Morrey space.

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Authors and Affiliations

  1. Jiangxi Normal University, Nanchang, China

    Xiaoniu Cao & Dongxiang Chen

  2. College of Mathematics and Informatics, Jiangxi Normal University, Nanchang, 330022, P. R. China

    Xiaoniu Cao & Dongxiang Chen

Authors
  1. Xiaoniu Cao
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  2. Dongxiang Chen
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Correspondence to Xiaoniu Cao.

Additional information

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).

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Cao, X., Chen, D. The boundedness of Toeplitz-type Operators on vanishing-morrey spaces. Anal. Theory Appl. 27, 309–319 (2011). https://doi.org/10.1007/s10496-011-0309-y

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  • DOI: https://doi.org/10.1007/s10496-011-0309-y

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