Abstract
In the spaces of analytic functionsE q (Ω), q⩾1, introduced by V. I. Smirnov, where Ω is a bounded simply connected domain in the plane ℂ with sufficiently smooth boundary γ, we obtain order estimates of diameters of the classesW r E p (Ω) (p⩾1, and r is a natural number ⩾2) for distinct p and q.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 3, pp. 324–333, March, 1992.
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Vakarchuk, S.B. On the diameters of some classes of analytic functions. I. Ukr Math J 44, 283–291 (1992). https://doi.org/10.1007/BF01063129
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DOI: https://doi.org/10.1007/BF01063129