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Mixed radial-angular integrability for rough maximal operators

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Abstract

In this paper, we study the mixed radial-angular integrability for maximal operators related to a class of rough singular integrals along “polynomial curves". Under assuming that the kernel satisfies certain rather weak size condition on sphere, we obtain the boundedness of such maximal operators on the mixed radial-angular Lebesgue spaces. Meanwhile, on the corresponding vector-valued versions are also established.

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Acknowledgements

The author would like to thank the referee for his/her valuable comments and suggestions.

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  1. School of Mathematical Sciences, Xiamen University, Xiamen, 361005, China

    Ronghui Liu

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  1. Ronghui Liu
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Correspondence to Ronghui Liu.

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The research was supported by the NNSF of China (Nos. 11771358, 11871101).

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Liu, R. Mixed radial-angular integrability for rough maximal operators. J. Pseudo-Differ. Oper. Appl. 12, 39 (2021). https://doi.org/10.1007/s11868-021-00411-0

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  • DOI: https://doi.org/10.1007/s11868-021-00411-0

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