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Almost Everywhere Convergence of Bochner–Riesz Means on Hardy–Sobolev Spaces

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Abstract

We investigate the convergence of Bochner–Riesz means on Hardy–Sobolev spaces. The relation between the smoothness imposed on functions and the rate of almost everywhere convergence of the generalized Bochner–Riesz means is given.

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Acknowledgements

The research was supported by National Natural Science Foundation of China (Nos. 11971295, 11871108, 11871436) and Natural Science Foundation of Shanghai (No. 19ZR1417600).

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, WI, 53201, USA

    Dashan Fan

  2. Department of Mathematics, Shanghai University, Shanghai, 200444, China

    Fayou Zhao

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  1. Dashan Fan
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  2. Fayou Zhao
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Correspondence to Fayou Zhao.

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Fan, D., Zhao, F. Almost Everywhere Convergence of Bochner–Riesz Means on Hardy–Sobolev Spaces. Front. Math 18, 657–682 (2023). https://doi.org/10.1007/s11464-020-0107-y

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  • DOI: https://doi.org/10.1007/s11464-020-0107-y

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