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On the almost-everywhere convergence of the Riesz means of double orthogonal series

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Abstract

We establish coefficient conditions of the classical type that guarantee the almost-everywhere summability of double orthogonal series by the Riesz methods of nonnegative order. We also prove certain equiconvergence theorems.

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Authors
  1. V. A. Andrienko
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Additional information

South-Ukrainian Pedagogic University, Odessa. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 7, pp. 867–880, July, 1999.

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Andrienko, V.A. On the almost-everywhere convergence of the Riesz means of double orthogonal series. Ukr Math J 51, 969–985 (1999). https://doi.org/10.1007/BF02592034

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  • DOI: https://doi.org/10.1007/BF02592034

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