The two-dimensional Fejér means on diagonal Hardy space

DOI10.1007/s10998-014-0076-6zbMath1363.42047OpenAlexW2088151241MaRDI QIDQ343222

Ushangi Goginava, Károly Nagy

Publication date: 25 November 2016

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-014-0076-6

zbMATH Keywords

Hardy spaceWalsh systempointwise convergencetwo-dimensional systemFejér meansWalsh group

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Cites Work

• Pointwise convergence of cone-like restricted two-dimensional Fejér means of Walsh-Fourier series
• The maximal \((C,\alpha,\beta)\) operator of two-parameter Walsh-Fourier series
• Maximal operators of Fejér means of double Walsh-Fourier series
• Cesaro Summability of Double Walsh-Fourier Series
• On (C,1) summability of integrable functions with respect to the Walsh-Kaczmarz system
• Cesàro Summability of Two-dimensional Walsh-Fourier Series
• On the divergence of the $(C,1)$ means of double Walsh-Fourier series
• Summability of Multi-Dimensional Fourier Series and Hardy Spaces
• Note on the differentiability of multiple integrals
• Cesàro summability with respect to two-parameter Walsh systems
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