Approximation by \(\theta\)-means of Walsh-Fourier series in dyadic Hardy spaces and dyadic homogeneous Banach spaces
DOI10.1007/s10476-021-0083-9zbMath1488.42120OpenAlexW3161325968MaRDI QIDQ2043698
Mohammed A. Salim, Károly Nagy, István Blahota
Publication date: 3 August 2021
Published in: Analysis Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10476-021-0083-9
Walsh systemapproximationmodulus of continuitydyadic Hardy spaceweighted meanWalsh-Fourier seriesFejér meanWalsh groupNörlund mean\(\theta\)-meandyadic homogeneous Banach space
Function spaces arising in harmonic analysis (42B35) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Operator theory and harmonic analysis (47B90)
Cites Work
- Sharp \(H_{p}\)-\(L_{p}\) type inequalities of weighted maximal operators of Vilenkin-Nörlund means and its applications
- \(\theta\)-summability of Fourier series
- On the integrability and \(L^ 1\)-convergence of Walsh series with coefficients of bounded variation
- Best approximation by Walsh polynomials
- Approximation by Nörlund means of Walsh-Fourier series
- \(\theta\)-summation and Hardy spaces
- On the approximation properties of Cesàro means of negative order of Walsh-Fourier series
- Approximation by \(\Theta\)-means of Walsh-Fourier series
- Approximation by weighted means of Walsh-Fourier series
- On the boundedness of the \(L^{1}\)-norm of Walsh-Fejér kernels
- Maximal operators of Fejér means of double Walsh-Fourier series
- Cesàro summability of one- and two-dimensional Walsh-Fourier series
- On Walsh-Fourier series
- A note on the maximal operators of Vilenkin—Nörlund means with non-increasing coefficients
- Weighted approximation via Θ-summations of Fourier-Jacobi series
- Approximation by Nörlund means of Walsh–Kaczmarz–Fourier series
- Summability of Multi-Dimensional Fourier Series and Hardy Spaces
- On multipliers preserving convergence of trigonometric series almost everywhere
- On Approximation by Walsh Functions
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