Summability of double Fourier series on quantum tori
Y Jiao, D Zhou - Mathematische Zeitschrift, 2024 - Springer
In this paper, we study two general summability methods generated by a function\(\theta\) for
noncommutative Fourier series on quantum tori\(\mathbb {T}^ 2_ {\textsf {q}}\). For the …
noncommutative Fourier series on quantum tori\(\mathbb {T}^ 2_ {\textsf {q}}\). For the …
Maximal singular integral operators acting on noncommutative -spaces
G Hong, X Lai, B Xu - Mathematische Annalen, 2023 - Springer
In this paper, we study the boundedness theory for maximal Calderón–Zygmund operators
acting on noncommutative L p-spaces. Our first result is a criterion for the weak type (1, 1) …
acting on noncommutative L p-spaces. Our first result is a criterion for the weak type (1, 1) …
The harmonic oscillator on the Moyal-Groenewold plane: an approach via Lie groups and twisted Weyl tuples
C Arhancet, L Hagedorn, C Kriegler, P Portal - arXiv preprint arXiv …, 2023 - arxiv.org
This paper investigates the functional calculus of the harmonic oscillator on each Moyal-
Groenewold plane, the noncommutative phase space which is a fundamental object in …
Groenewold plane, the noncommutative phase space which is a fundamental object in …
A noncommutative maximal inequality for Fej\'{e} r means on totally disconnected non-abelian groups
F Ding, G Hong, X Wang - arXiv preprint arXiv:2403.09263, 2024 - arxiv.org
In this paper, we explore Fourier analysis for noncommutative $ L_p $ space-valued
functions on $ G $, where $ G $ is a totally disconnected non-abelian compact group. By …
functions on $ G $, where $ G $ is a totally disconnected non-abelian compact group. By …
Maximal weak Orlicz types and the strong maximal on von Neumann algebras
AMG Pérez, J Parcet, JP García - arXiv preprint arXiv:2404.12061, 2024 - arxiv.org
Let $\mathbf {E} _n:\mathcal {M}\to\mathcal {M} _n $ and $\mathbf {E} _m:\mathcal
{N}\to\mathcal {N} _m $ be two sequences of conditional expectations on finite von …
{N}\to\mathcal {N} _m $ be two sequences of conditional expectations on finite von …
Sharp estimates of noncommutative Bochner–Riesz means on two-dimensional quantum tori
X Lai - Communications in Mathematical Physics, 2022 - Springer
In this paper, we establish the full L_p L p boundedness of noncommutative Bochner–Riesz
means on two-dimensional quantum tori, which completely resolves an open problem raised …
means on two-dimensional quantum tori, which completely resolves an open problem raised …
Noncommutative Stein's maximal spherical means
L Wei, L Wenjuan, L Jie, W Lian - arXiv preprint arXiv:2310.14150, 2023 - arxiv.org
arXiv:2310.14150v1 [math.FA] 22 Oct 2023 Page 1 arXiv:2310.14150v1 [math.FA] 22 Oct
2023 NONCOMMUTATIVE STEIN’S MAXIMAL SPHERICAL MEANS WEI LI, WENJUAN LI, JIE …
2023 NONCOMMUTATIVE STEIN’S MAXIMAL SPHERICAL MEANS WEI LI, WENJUAN LI, JIE …
On the best constants of the noncommutative Littlewood-Paley-Stein inequalities
Z Wei, H Zhang - arXiv preprint arXiv:2401.08731, 2024 - arxiv.org
Let $1< p<\infty $. Let $\{T_t\} _ {t> 0} $ be a noncommutative symmetric diffusion semigroup
on a semifinite von Neumann algebra $\mathcal {M} $, and let $\{P_t\} _ {t> 0} $ be its …
on a semifinite von Neumann algebra $\mathcal {M} $, and let $\{P_t\} _ {t> 0} $ be its …
Cesàro summability of subsequence of the partial sums of Fourier series in operator-valued setting
T Zhao, D Zhou - Positivity, 2023 - Springer
Abstract Let f∈ L 1 (L∞(T)⊗¯ M), where T is the classical torus, M is a semi-finite von
Neumann algebra. We prove the noncommutative weak type maximal inequality‖(γ n (f)) …
Neumann algebra. We prove the noncommutative weak type maximal inequality‖(γ n (f)) …
[PDF][PDF] Maximal weak Orlicz types and the strong maximal on von Neumann algebras
AM González-Pérez, J Parcet, JP Garcıa - arXiv e-prints, 2024 - researchgate.net
Abstract Let En: M→ Mn and Em: N→ Nm be two sequences of conditional expectations on
finite von Neumann algebras. The optimal weak Orlicz type of the associated strong maximal …
finite von Neumann algebras. The optimal weak Orlicz type of the associated strong maximal …