On the boundedness of the \(L^{1}\)-norm of Walsh-Fejér kernels

DOI10.1016/J.JMAA.2017.07.075zbMath1393.42028OpenAlexW2744944284MaRDI QIDQ2405364

Rodolfo Toledo

Publication date: 25 September 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.07.075

zbMATH Keywords

Fourier analysisLebesgue constantsWalsh-Paley systemWalsh-Fejér kernels

Mathematics Subject Classification ID

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

Related Items (9)

Almost everywhere convergence and divergence of Cesàro means with varying parameters of Walsh-Fourier series ⋮ Some properties of the Walsh-Nörlund means ⋮ Approximation by subsequences of matrix transform mean of Walsh-Fourier series ⋮ On the rate of approximation by generalized de la Vallée Poussin type matrix transform means of Walsh-Fourier series ⋮ Norm and almost everywhere convergence of matrix transform means of Walsh-Fourier series ⋮ Maximal operators of Walsh-Nörlund means on the dyadic Hardy spaces ⋮ Conjugate transforms on dyadic group ⋮ Approximation by \(\theta\)-means of Walsh-Fourier series in dyadic Hardy spaces and dyadic homogeneous Banach spaces ⋮ Approximation by Marcinkiewicz ϴ-means of double Walsh-Fourier series

Cites Work

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• Lebesgue constants of the Walsh system and Banach limits
• Integrability of the sum of absolute values of blocks of the Fourier-Walsh series for functions of bounded variation
• On (C,1) summability for Vilenkin-like systems
• On the Walsh Functions
• On Approximation by Walsh Functions
• CESARO SUMMABILITY OF WALSH-FOURIER SERIES

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