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Almost—Everywhere convergence of Bochner—Riesz means in Bessel potential spaces

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Approximation Theory and its Applications

Abstract

In this paper, we consider the almost everywhere convergenc of Bochner—Riesz means below the critical index in Bessel potential spacesL p a (1≤p≤2 anda>0) and find out the relation between the index of Bochner—Riesz means and the degree of smoothness of functions.

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Author notes

  1. Ma Bolin

    Present address: Department of Applied Mathematics, Hunan University, 410082, Changsha, P. R. China

Authors and Affiliations

  1. Center for Mathematical sciences, Zhejiang University, 310027, Hangzhou, P. R. China

    Ma Bolin

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  1. Ma Bolin
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Bolin, M. Almost—Everywhere convergence of Bochner—Riesz means in Bessel potential spaces. Approx. Theory & its Appl. 13, 13–18 (1997). https://doi.org/10.1007/BF02836807

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  • DOI: https://doi.org/10.1007/BF02836807

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