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Singular numbers of the imbedding operators for certain classes of analytic and harmonic functions

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Abstract

One obtains formulas of the strong asymptotics of the s-numbers of the imbedding operators of the weighted classes of analytic and harmonic functions into the weighted spaces L2 on the interior subdomains.

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Authors and Affiliations

  1. Oskov Pedagogical Institute, USSR

    O. G. Parfenov

Authors
  1. O. G. Parfenov
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Additional information

Translated from Problemy Matematicheskogo Analiza, No. 9, pp. 56–66, 1984.

The author expresses his gratitude to M. Z. Solomyak for his constant support.

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Parfenov, O.G. Singular numbers of the imbedding operators for certain classes of analytic and harmonic functions. J Math Sci 35, 2193–2200 (1986). https://doi.org/10.1007/BF01104867

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  • DOI: https://doi.org/10.1007/BF01104867

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