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Sublinear operators on block-type spaces

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Abstract

This study establishes the boundedness of sublinear operators on block spaces built on Banach function spaces. These results are used to study the boundedness of the Marcinkiewicz integrals, singular integral operators and fractional integral operators with homogeneous kernels on block-type spaces.

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Acknowledgements

The author thanks the reviewers for their helpful comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics and Information Technology, The Education University of Hong Kong, Hong Kong, China

    Kwok-Pun Ho

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  1. Kwok-Pun Ho
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Correspondence to Kwok-Pun Ho.

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Ho, KP. Sublinear operators on block-type spaces. Sci. China Math. 63, 1107–1124 (2020). https://doi.org/10.1007/s11425-018-9441-9

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  • DOI: https://doi.org/10.1007/s11425-018-9441-9

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