Convergence in measure of strong logarithmic means of double Fourier series

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 into space L p , 0 < p < 1, are studied. The maximal Orlicz space such that the Nörlund strong logarithmic means of double Fourier series for the functions from this space converge in two-dimensional measure is...

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Veröffentlicht in:Journal of contemporary mathematical analysis 2014-05, Vol.49 (3), p.109-116
Hauptverfasser: Goginava, U., Gogoladze, L.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Real and Complex Analysis
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Zusammenfassung:Nörlund strong logarithmic means of double Fourier series acting from space L log L into space L p , 0 < p < 1, are studied. The maximal Orlicz space such that the Nörlund strong logarithmic means of double Fourier series for the functions from this space converge in two-dimensional measure is found.
ISSN:1068-3623
1934-9416
DOI:10.3103/S1068362314030017