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Gel'fand widths of the unit ball of the Hardy class HP in weight spaces

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Literature cited

  1. G. M. Goluzin, Geometric Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow (1966).

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  3. S. D. Fisher and C. Michelli, “The n-widths of sets of analytic functions,” Duke Math. J.,47, No. 4, 789–901 (1980).

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  4. O. G. Parfenov, “The widths of certain classes of analytic functions,” Funkts. Anal. Prilozhen.,15, No. 4, 87–88 (1981).

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Authors and Affiliations

  1. Blagoveshchensk Technological Institute, USSR

    O. G. Parfenov

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  1. O. G. Parfenov
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Translated from Matematicheskie Zametki, Vol. 37, No. 2, pp. 171–175, February, 1985.

The author thanks N. I. Skiba for fruitful discussion of the problems.

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Parfenov, O.G. Gel'fand widths of the unit ball of the Hardy class HP in weight spaces. Mathematical Notes of the Academy of Sciences of the USSR 37, 96–98 (1985). https://doi.org/10.1007/BF01156751

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  • DOI: https://doi.org/10.1007/BF01156751

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