Triangular-\(\theta\) summability of double Fourier series on quantum tori
From MaRDI portal
Publication:6628880
DOI10.1007/s43034-024-00376-3MaRDI QIDQ6628880
Dejian Zhou, Yong Jiao, Tiantian Zhao
Publication date: 29 October 2024
Published in: Annals of Functional Analysis (Search for Journal in Brave)
quantum torialmost uniform convergencenoncommutative maximal inequalitiesnoncommutative Fourier series
Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Noncommutative measure and integration (46L51) Noncommutative function spaces (46L52)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Algebraic Davis decomposition and asymmetric Doob inequalities
- Harmonic analysis on quantum tori
- Triangular Cesàro summability of two dimensional Fourier series
- Triangular summability and Lebesgue points of 2-dimensional Fourier transforms
- Strong limit theorems in non-commutative probability
- Ergodic theorems for convex sets and operator algebras
- Recherches sur la convergence des séries de \textit{Fourier}.
- Fejér means for multivariate Fourier series
- Sharp estimates of noncommutative Bochner-Riesz means on two-dimensional quantum tori
- Triangular summability of two-dimensional Fourier transforms
- Pointwise convergence of cone-like restricted two-dimensional \((C,1)\) means of trigonometric Fourier series
- Nörlund summability of multiple Fourier series
- Noncommutative maximal ergodic theorems
- l-1 summability of multiple Fourier integrals and positivity
- Doobs inequality for non-commutative martingales
- Lebesgue Points and Summability of Higher Dimensional Fourier Series
- Noncommutative strong maximals and almost uniform convergence in several directions
- Maximal Inequalities of Noncommutative Martingale Transforms
- Weak-type interpolation for noncommutative maximal operators
- Operator valued Hardy spaces
- Norlund Summability of Double Fourier Series
- On the summability of double Fourier series.
- On \(\ell-1\) Riesz summability of the inverse Fourier integral
This page was built for publication: Triangular-\(\theta\) summability of double Fourier series on quantum tori