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arXiv · 1303.0394

Convergence in Measure of Strong logarithmic means of double Fourier series

Ushangi Goginava·Larry Gogoladze
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Abstract

N\"orlund strong logarithmic means of double Fourier series acting from space $% L\log L(\mathbb{T}^{2}) $ into space $L_{p}(\mathbb{T}% ^{2}), 0<p<1$ are studied. The maximal Orlicz space such that the N\"o% 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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Ushangi Goginava, Larry Gogoladze. 2013-03-02. Convergence in Measure of Strong logarithmic means of double Fourier series. https://arxiv.org/abs/1303.0394

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