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Izvestiya: Mathematics, 1998, Volume 62, Issue 2, Pages 247–259
DOI: https://doi.org/10.1070/im1998v062n02ABEH000172 (Mi im172) 		 
Fourier coefficients of piecewise-monotone functions of several variables

M. I. Dyachenko
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DOI: https://doi.org/10.1070/im1998v062n02ABEH000172
Abstract: As the main result of this paper we obtain the best possible estimates for the Hardy–Littlewood sums of the Fourier coefficients of piecewise-monotone functions in the spaces $L_p([-\pi,\pi)^m)$, where $2<p<2+\frac1{m-1}$ .
Received: 12.11.1996
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1998, Volume 62, Issue 2, Pages 35–48
DOI: https://doi.org/10.4213/im172
Bibliographic databases:
MSC: 42B05
Language: English
Original paper language: Russian
Citation: M. I. Dyachenko, “Fourier coefficients of piecewise-monotone functions of several variables”, Izv. RAN. Ser. Mat., 62:2 (1998), 35–48; Izv. Math., 62:2 (1998), 247–259
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/im/v62/i2/p35
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:240
    English version PDF:25
    References:70
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