On the maximal operators of Fejér means with respect to the character system of the group of 2-adic integers in Hardy spaces

DOI10.1134/S0001434615070068zbMath1329.42029MaRDI QIDQ887475

György Gát, Károly Nagy

Publication date: 26 October 2015

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

maximal operatorHardy spacesFejér meanscharacter systemgroup of 2-adic integers

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (2)

Approximation by matrix transform means with respect to the character system of the group of 2-adic integers ⋮ Transference method for cone-like restricted summability of the two-dimensional Walsh-like systems

Cites Work

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• On the almost everywhere convergence of Fejér means of functions on the group of 2-adic integers
• Almost everywhere convergence of Cesáro means of Fourier series on the group of 2-adic integers
• Pointwise convergence of double Vilenkin-Fejér means
• Almost everywhere convergence of a subsequence of logarithmic means of Fourier series on the group of 2-adic integers
• Almost everywhere convergence of cone-like restricted two-dimensional Fejér means with respect to Vilenkin-like systems
• Fourier Analysis on Local Fields. (MN-15)
• Summability of Multi-Dimensional Fourier Series and Hardy Spaces
• Cesàro summability with respect to two-parameter Walsh systems

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