Convergence in Measure of Strong logarithmic means of double Fourier series

2013/03/02 by Ушанги Гогинава, Ushangi Goginava, Goginava, Ushangi +3
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #math.AP

paper · pdf · doi:10.48550/arxiv.1303.0394

arxiv created 2013/03/02 · arxiv updated 2013/03/05

Abstract

Nörlund strong logarithmic means of double Fourier series acting from space % Llog L(\mathbbT²) into space L_p(\mathbbT% ²), 0<p<1 are studied. The maximal Orlicz space such that the Nö% rlund strong logarithmic means of double Fourier series for the functions from this space converge in two-dimensional measure is found.

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