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Mathematics of the USSR-Izvestiya, 1973, Volume 7, Issue 3, Pages 589–599
DOI: https://doi.org/10.1070/IM1973v007n03ABEH001961 (Mi im2281) 		 
This article is cited in 1 scientific paper (total 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
English version PDF (428 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM1973v007n03ABEH001961
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 $L_p^{*\gamma}(G)$.
Received: 22.02.1972
Bibliographic databases:
UDC: 517.5
MSC: 42A62, 42A24, 42A92, 40G05, 40G10
Language: English
Original paper language: Russian
Citation: N. Ch. Krutitskaya, “Best possible localization conditions for rectangular Cesáro means and Abel means in restricted summability of a multiple trigonometric Fourier series in Liouville classes”, Math. USSR-Izv., 7:3 (1973), 589–599
Citation in format AMSBIB
\Bibitem{Kru73}
\by N.~Ch.~Krutitskaya
\paper Best possible localization conditions for rectangular Ces\'aro means and Abel means in restricted summability of a~multiple trigonometric Fourier series in Liouville classes
\jour Math. USSR-Izv.
\yr 1973
\vol 7
\issue 3
\pages 589--599
\mathnet{http://mi.mathnet.ru//eng/im2281}
\crossref{https://doi.org/10.1070/IM1973v007n03ABEH001961}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=372527}
\zmath{https://zbmath.org/?q=an:0273.42008}
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  • https://www.mathnet.ru/eng/im/v37/i3/p593
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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