Convergence of Vilenkin–Fourier series in variable Hardy spaces
DOI10.1002/mana.202000248zbMath1526.42014OpenAlexW4296527265MaRDI QIDQ6093883
Publication date: 9 October 2023
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.202000248
atomic decompositionVilenkin-Fourier seriesFejér meansVilenkin martingalesmartingale Hardy and Hardy-Lorentz spacesmaximal Fejér operator variable exponent
Martingales with discrete parameter (60G42) Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) (H^p)-spaces (42B30) Summability in several variables (42B08)
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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
- Martingale Hardy spaces with variable exponents
- Bounded operators on weak Hardy spaces and applications
- Martingale Hardy spaces and their applications in Fourier analysis
- Investigations of certain operators with respect to the Vilenkin system
- Atomic decompositions of weighted Hardy spaces with variable exponents
- (\(C,\alpha\)) summability of Walsh--Kaczmarz--Fourier series
- Variable anisotropic Hardy spaces and their applications
- Maximal operators of Vilenkin-Nörlund means
- A boundedness criterion via atoms for linear operators in Hardy spaces
- Martingale Musielak-Orlicz Hardy spaces
- Atomic characterizations of weak martingale Musielak-Orlicz Hardy spaces and their applications
- New martingale inequalities and applications to Fourier analysis
- 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
- Maximal operators of Fejér means of double Walsh-Fourier series
- Weak inequalities for Cesàro and Riesz summability of Walsh-Fourier series
- Almost everywhere convergence of \((C,\alpha)\)-means of cubical partial sums of \(d\)-dimensional Walsh--Fourier series
- Cesàro summability of one- and two-dimensional Walsh-Fourier series
- Some new functional spaces
- Strong convergence of two-dimensional Vilenkin-Fourier series
- A Maximal Inequality for H 1 -Functions on a Generalized Walsh-Paley Group
- Weighted anisotropic product Hardy spaces and boundedness of sublinear operators
- On a generalization of the concept of derivative
- Variable Hardy–Lorentz spaces
- On the Marcinkiewicz-Fejér means of double Fourier series with respect to the Walsh-Kaczmarz system
- Lorentz spaces with variable exponents
- Variable Hardy Spaces
- Summability of Multi-Dimensional Fourier Series and Hardy Spaces
- Boundedness of operators on Hardy spaces via atomic decompositions
- CESARO SUMMABILITY OF WALSH-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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