Convergence of logarithmic means of quadratical partial sums of double Fourier series

2013/01/13 by Ушанги Гогинава, Goginava, Ushangi
Mathematics · #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Approximation Theory and Sequence Spaces #Differential Equations and Boundary Problems #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1301.2757

openalex publication_date 2013/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we investigate some convergence and divergence properties of the logarithmic means of quadratical partial sums of double Fourier series of functions in the measure and in the L Lebesgue norm.

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