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Izvestiya: Mathematics, 2019, Volume 83, Issue 2, Pages 273–286
DOI: https://doi.org/10.1070/IM8769 (Mi im8769) 		 
An exponential estimate for the cubic partial sums of multiple Fourier series

G. A. Karagulyan, H. Mkoyan

Yerevan State University, Faculty of Mathematics and Mechanics
English version PDF (277 kB) Russian version article
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DOI: https://doi.org/10.1070/IM8769
Abstract: We prove an exponential integral estimate for the cubic partial sums of multiple Fourier series on sets of large measure. This estimate yields some new properties of Fourier series.
Keywords: multiple Fourier series, exponential integral estimates, cubic partial sums.
Received: 06.02.2018
Revised: 26.06.2018
Bibliographic databases:
Document Type: Article
UDC: 517.518.47
MSC: 40F05, 42B08
Language: English
Original paper language: Russian
Citation: G. A. Karagulyan, H. Mkoyan, “An exponential estimate for the cubic partial sums of multiple Fourier series”, Izv. Math., 83:2 (2019), 273–286
Citation in format AMSBIB
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\paper An exponential estimate for the cubic partial sums of multiple Fourier series
\jour Izv. Math.
\yr 2019
\vol 83
\issue 2
\pages 273--286
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