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Strongly singular Calderón–Zygmund operators on Hardy spaces associated with ball quasi-Banach function spaces

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Abstract

We obtain the mapping properties of the strongly singular Calderón–Zygmund operators on Hardy spaces associated with ball quasi-Banach function spaces. We established this result by using the idea from extrapolation originated from Rubio de Francia. As applications of this result, we present the mapping properties of the strongly singular Calderón–Zygmund operators to the Hardy Orlicz-slice spaces, the Hardy local Morrey spaces with variable exponents and the Herz–Hardy spaces with variable exponents.

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The author thanks the reviewers for their valuable suggestions which improve the presentation of this paper.

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  1. Department of Mathematics and Information Technology, The Education University of Hong Kong, 10, Lo Ping Road, Tai Po, Hong Kong, China

    Kwok-Pun Ho

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Ho, KP. Strongly singular Calderón–Zygmund operators on Hardy spaces associated with ball quasi-Banach function spaces. Anal.Math.Phys. 13, 67 (2023). https://doi.org/10.1007/s13324-023-00831-9

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