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Null-Sets Criteria for Weighted Sobolev Spaces

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Abstract

We establish exact functional, capacity, and metric characteristics for null-sets in weighted Sobolev spaces with the Muckenhoupt weight. Bibliography: 16 titles.

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Authors and Affiliations

  1. Far East Department of Russian Academy of Sciences, Applied Mathematics Institute, Russia

    I. N. Demshin, Yu. V. Dymchenko & V. A. Shlyk

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  1. I. N. Demshin
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  2. Yu. V. Dymchenko
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  3. V. A. Shlyk
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Demshin, I.N., Dymchenko, Y.V. & Shlyk, V.A. Null-Sets Criteria for Weighted Sobolev Spaces. Journal of Mathematical Sciences 118, 4760–4777 (2003). https://doi.org/10.1023/A:1025564331343

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