Almost Everywhere Strong Summability of Fejér Means of Rectangular Partial Sums of Two-dimensional Walsh-Fourier Series
- Authors: Goginava U.1
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Affiliations:
- Ivane Javakhishvili Tbilisi State University
- Issue: Vol 53, No 2 (2018)
- Pages: 100-112
- Section: Real and Complex Analysis
- URL: https://journals.rcsi.science/1068-3623/article/view/228155
- DOI: https://doi.org/10.3103/S106836231802005X
- ID: 228155
Cite item
Abstract
In this paper we prove a BMO-estimate for rectangular partial sums of two-dimensional Walsh-Fourier series, and using this result we establish almost everywhere exponential summability of rectangular partial sums of double Walsh-Fourier series.
About the authors
U. Goginava
Ivane Javakhishvili Tbilisi State University
Author for correspondence.
Email: zazagoginava@gmail.com
Georgia, Tbilisi