Convergence in Measure of Strong logarithmic means of double Fourier series

Abstract

N\"orlund strong logarithmic means of double Fourier series acting from space % L L(T2) into space Lp(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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