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Boundedness of composition of operators associated with different homogeneities on weighted Besov and Triebel–Lizorkin spaces

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Abstract

In this paper, we introduce weighted Besov spaces and weighted Triebel–Lizorkin spaces associated with different homogeneities and prove that the composition of two Calderón–Zygmund operators is bounded on these spaces. This extends a recent result in Han et al, Revista Mat. Iber.

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Acknowledgements

The author would like to express his deep gratitude to the referees for their valuable comments and suggestions. This research was supported by NNSF-China (Grant No. 11101423), the Fundamental Research Funds for the Central Universities of China (Grant No. 2009QS12) and supported in part by NNSF-China (Grant No. 11171345).

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  1. Department of Mathematics, China University of Mining and Technology, Beijing, 100083, China

    XINFENG WU

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  1. XINFENG WU
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Correspondence to XINFENG WU.

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WU, X. Boundedness of composition of operators associated with different homogeneities on weighted Besov and Triebel–Lizorkin spaces. Proc Math Sci 124, 81–92 (2014). https://doi.org/10.1007/s12044-013-0157-0

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  • DOI: https://doi.org/10.1007/s12044-013-0157-0

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