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Fourier coefficients of functions of classC ψΒ H ω X

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Abstract

Sharp upper bounds are obtained from the suprema of the Fourier coefficients of functionsC ψΒ H ω C andC ψΒ H Ω L of several variables defined by multipliers ψ(·). translations in the arguments\(i = \overline {l,m,} \) and moduli of continuity in the spaces C and L.

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Kiev

    A. I. Stepanets, P. V. Zaderei & N. N. Zaderei

Authors
  1. A. I. Stepanets
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  2. P. V. Zaderei
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  3. N. N. Zaderei
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 11, pp. 1537–1545, November, 1990.

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Stepanets, A.I., Zaderei, P.V. & Zaderei, N.N. Fourier coefficients of functions of classC ψΒ H ω X . Ukr Math J 42, 1380–1387 (1990). https://doi.org/10.1007/BF01066196

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  • DOI: https://doi.org/10.1007/BF01066196

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