Transference method for cone-like restricted summability of the two-dimensional Walsh-like systems
DOI10.7153/mia-2021-24-16zbMath1465.42030OpenAlexW3133848087MaRDI QIDQ4991568
Mohammed A. Salim, Károly Nagy
Publication date: 3 June 2021
Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/mia-2021-24-16
Hardy spacemaximal operatorCesàro meansWalsh-Paley systemWalsh-Kaczmarz systemalmost everywhere convergencegroup of 2-adic integersrestricted summabilitymulti-dimensional system
Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Harmonic analysis on specific compact groups (43A75) (H^p)-spaces (42B30) Summability in several variables (42B08)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Almost everywhere convergence of Fejér means of some subsequences of Fourier series for integrable functions with respect to the Kaczmarz system
- Pointwise convergence of cone-like restricted two-dimensional Fejér means of Walsh-Fourier series
- On the maximal operators of Fejér means with respect to the character system of the group of 2-adic integers in Hardy spaces
- On Fourier series with respect to the Walsh-Kaczmarz system
- Pointwise convergence of expansions with respect to certain product systems
- Martingale Hardy spaces and their applications in Fourier analysis
- On the almost everywhere convergence of Fejér means of functions on the group of 2-adic integers
- (\(C,\alpha\)) summability of Walsh--Kaczmarz--Fourier series
- On the Cesàro summability with respect to the Walsh-Kaczmarz system
- On the restricted summability of Walsh-Kaczmarz-Fejér means
- Approximation by Walsh-Kaczmarz-Fejér means on the Hardy space
- On the maximal operators of Walsh-Kaczmarz-Fejér means
- Maximal operators of Fejér means of double Walsh-Fourier series
- Almost everywhere convergence of Cesáro means of Fourier series on the group of 2-adic integers
- Pointwise convergence of cone-like restricted two-dimensional \((C,1)\) means of trigonometric Fourier series
- On the restricted summability of two-dimensional Walsh--Fejer means
- On (C,1) summability of integrable functions with respect to the Walsh-Kaczmarz system
- On the restricted summability of the multi-dimensional Vilenkin-Cesàro means
- On the A.E. Convergence of Walsh-Kaczmarz-Fourier Series
- Cesàro Summability of Two-dimensional Walsh-Fourier Series
- Summability of Multi-Dimensional Fourier Series and Hardy Spaces
- Restricted summability of the multi-dimensional Cesaro means of Walsh--Kaczmarz--Fourier series
- Cesàro summability with respect to two-parameter Walsh systems
This page was built for publication: Transference method for cone-like restricted summability of the two-dimensional Walsh-like systems
