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Block-Sobolev Spaces and the Rate of Almost Everywhere Convergence of Bochner–Riesz Means

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An Erratum to this article was published on 27 July 2016

Abstract

In this paper, we study the convergence of the Bochner–Riesz means on the block-Sobolev spaces. The relation between the smoothness imposed on blocks and the rate of almost everywhere convergence of the generalized Bochner–Riesz means at the critical index is given.

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Acknowledgments

The authors want to express their sincere thanks to the referee for his or her valuable suggestions.

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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, People’s Republic of China

    Fayou Zhao

Authors
  1. Dashan Fan
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  2. Fayou Zhao
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Corresponding author

Correspondence to Fayou Zhao.

Additional information

Communicated by Wolfgang Dahmen.

The research was supported by National Natural Science Foundation of China (Grant Nos. 11471288, 11201287) and China Scholarship Council (Grant No. 201406895019).

An erratum to this article is available at http://dx.doi.org/10.1007/s00365-016-9352-4.

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Fan, D., Zhao, F. Block-Sobolev Spaces and the Rate of Almost Everywhere Convergence of Bochner–Riesz Means. Constr Approx 45, 391–405 (2017). https://doi.org/10.1007/s00365-016-9343-5

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  • DOI: https://doi.org/10.1007/s00365-016-9343-5

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