Convergence in Norm of logarithmic means of Multiple Fourier series
The maximal Orlicz space such that the mixed logarithmic means of multiple Fourier series for the functions from this space converge in $L_{1}$-norm is found.
math.AP↗
arXiv subjects
Larry Gogoladze
Publications and source records attributed to Larry Gogoladze.
Convergence in Measure of Strong logarithmic means of double Fourier series
Nörlund 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 Nö% rlund strong logarithmic means of double Fourier series for the functions from this space converge in two-dimensional measure is found.
math.AP↗