Estimates for the growth order of sequences of multiple rectangular Fourier sums of integrable functions

DOI10.1007/S10958-015-2481-7zbMath1336.42005OpenAlexW1609077683MaRDI QIDQ267585

N. Yu. Antonov

Publication date: 11 April 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2481-7

zbMATH Keywords

integrable functionsgrowth estimatesmultiple rectangular Fourier sums

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05)

Cites Work

• Growth estimates for arbitrary sequences of multiple rectangular Fourier sums
• Integrability of the majorants of Fourier sums and the divergence of Fourier series of functions with restrictions on the integral modulus of continuity.
• On limits of sequences of operators
• Subsequences of Fourier sums of integrable functions
• ESTIMATES OF THE DEVIATIONS OF PARTIAL FOURIER SUMS ON CLASSES OF CONTINUOUS PERIODIC FUNCTIONS OF SEVERAL VARIABLES
• Hilbert transform and exponential integral estimates of rectangular sums of double Fourier series
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