Triangular Cesàro summability and Lebesgue points of two-dimensional Fourier series
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Publication:5094436
DOI10.7153/mia-2022-25-39zbMath1496.42011OpenAlexW4289209222MaRDI QIDQ5094436
Publication date: 3 August 2022
Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/mia-2022-25-39
Cesàro summabilityHardy-Littlewood maximal functionFejér summabilityLebesgue pointstriangular summability
Maximal functions, Littlewood-Paley theory (42B25) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Summability in several variables (42B08) Summability and absolute summability of Fourier and trigonometric series (42A24)
Cites Work
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- Marcinkiewicz-Fejér means of \(d\)-dimensional Walsh--Fourier series
- Triangular Cesàro summability of two dimensional Fourier series
- Triangular summability and Lebesgue points of 2-dimensional Fourier transforms
- Lebesgue points of two-dimensional Fourier transforms and strong summability
- Summability of product Jacobi expansions
- The Walsh-Kaczmarz-Marcinkiewicz means and Hardy spaces
- (\(C,\alpha\)) summability of Walsh--Kaczmarz--Fourier series
- Christoffel functions and Fourier series for multivariate orthogonal polynomials
- Lebesgue points of \(\ell_1\)-Cesàro summability of \(d\)-dimensional Fourier series
- Maximal operators of Vilenkin-Nörlund means
- On multivariate projection operators
- 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
- l-1 summability of multiple Fourier integrals and positivity
- On the Marcinkiewicz-Fejér means of double Fourier series with respect to the Walsh-Kaczmarz system
- Unrestricted Cesàro summability of $d$-dimensional Fourier series and Lebesgue points
- Summability of Multi-Dimensional Trigonometric Fourier Series
- Wiener amalgams and pointwise summability of Fourier transforms and Fourier series
- Cesàro summability with respect to two-parameter Walsh systems
- On \(\ell-1\) Riesz summability of the inverse Fourier integral
