Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (4): 530-534.

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Continuity of a Class of Calder´on-Zygmund Operators on Certain Besov Spaces

  

  1. Department of Mathematics, South-Central University for Nationalities

  • Received:2008-12-24 Online:2011-12-30 Published:2023-04-13
  • About author:YANG Zhan-ying(1980-), female, native of Zhoukou, Henan, a lecturer of South-Central University for Nationalities, Ph.D., engages in harmonic analysis and wavelet analysis.
  • Supported by:
    Supported by the Special Fund for Basic Scientific Research of Central Colleges, South-Central University for Nationalities(ZZQ10010); Supported by the Fund for the Doctoral Program of Higher Education(20090141120010);

Abstract: In this paper, we introduce a class of non-convolution-type Calderón-Zygmund operators, whose kernels are certain sums involving the products of the Daubechies wavelets and their convolutions. And we obtain the continuity on the Besov spaces B0,qp(1 ≤ p, q ≤∞), which is mainly dependent on the properties of the Daubechies wavelets and Lemari’s T1 theorem for Besov spaces.

Key words: Calder′on-Zygmund operators, Besov spaces, Daubechies wavelets

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