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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1973 Volume 37, Issue 3, Pages 593–602 (Mi im2281)

This article is cited in 1 paper

Best possible localization conditions for rectangular Cesáro means and Abel means in restricted summability of a multiple trigonometric Fourier series in Liouville classes

N. Ch. Krutitskaya


Abstract: In the paper the best possible localization conditions are established for the rectangular Cesáro means of an arbitrary positive order and the means of Abel's method for the bounded summation of a multiple trigonometric Fourier series in the Liouville classes $L_p^{*\gamma}(G)$.

UDC: 517.5

MSC: 42A62, 42A24, 42A92, 40G05, 40G10

Received: 22.02.1972


 English version:
Mathematics of the USSR-Izvestiya, 1973, 7:3, 589–599

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© Steklov Math. Inst. of RAS, 2026