Summability of Fourier series in periodic Hardy spaces with variable exponent

DOI10.1007/s10474-020-01056-zzbMath1474.42036OpenAlexW3038224713MaRDI QIDQ2221040

Ferenc Weisz

Publication date: 25 January 2021

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

Full work available at URL: https://doi.org/10.1007/s10474-020-01056-z

zbMATH Keywords

maximal operatoratomic decompositionvariable Hardy space\(\vartheta\)-summabilityvariable Hardy-Lorentz space

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30) Summability in several variables (42B08) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (2)

Almost everywhere summability of two-dimensional Walsh-Fourier series ⋮ The boundedness of bilinear Fourier multiplier operators in Besov spaces with variable exponents

Cites Work

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• Variable weak Hardy spaces and their applications
• Atomic decompositions of Hardy spaces with variable exponents and its application to bounded linear operators
• Hardy spaces with variable exponents and generalized Campanato spaces
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Marcinkiewicz-Fejér means of \(d\)-dimensional Walsh--Fourier series
• Lebesgue and Sobolev spaces with variable exponents
• (\(C,\alpha\)) summability of Walsh--Kaczmarz--Fourier series
• Variable anisotropic Hardy spaces and their applications
• Convergence and summability of Fourier transforms and Hardy spaces
• Maximal operators of Vilenkin-Nörlund means
• Littlewood-Paley and finite atomic characterizations of anisotropic variable Hardy-Lorentz spaces and their applications
• Almost everywhere convergence of sequences of Cesàro and Riesz means of integrable functions with respect to the multidimensional Walsh system
• Pointwise convergence of cone-like restricted two-dimensional \((C,1)\) means of trigonometric Fourier series
• Almost everywhere convergence of \((C,\alpha)\)-means of cubical partial sums of \(d\)-dimensional Walsh--Fourier series
• The Segal algebra \(\mathbf S_0(\mathbb R^d)\) and norm summability of Fourier series and Fourier transforms
• \(H^p\) spaces of several variables
• Some new functional spaces
• A characterization of $H^{p}(R^{n})$ in terms of atoms
• H ^p theory for the poly-disc
• Variable Hardy–Lorentz spaces
• Hardy-Littlewood maximal operator on L^p(x) (ℝ)
• On the Marcinkiewicz-Fejér means of double Fourier series with respect to the Walsh-Kaczmarz system
• Lorentz spaces with variable exponents
• Summability of Multi-Dimensional Fourier Series and Hardy Spaces
• Summability of Multi-Dimensional Trigonometric Fourier Series
• Wiener amalgams and pointwise summability of Fourier transforms and Fourier series
• Variable martingale Hardy spaces and their applications in Fourier analysis
• Cesàro summability with respect to two-parameter Walsh systems

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