Zobrazeno 1 - 3
of 3
pro vyhledávání: '"46L51, 42B20"'
Autor:
Chen, Cheng, Hong, Guixiang
In this paper, we establish a noncommutative spherical maximal inequality associated with automorphisms on von Neumann algebras, extending Magyar-Stein-Wainger's discrete spherical maximal inequality to the noncommutative setting.
Comment: 16 pa
Comment: 16 pa
Externí odkaz:
http://arxiv.org/abs/2410.06035
In this paper, we establish a noncommutative maximal inequality for ergodic averages with respect to the set $\{k^t|k=1,2,3,...\}$ acting on noncommutative $L_p$ spaces for $p>\frac{\sqrt{5}+1}{2}$.
Comment: 18 pages
Comment: 18 pages
Externí odkaz:
http://arxiv.org/abs/2408.04374
In this paper, we initiate the study of the Fourier restriction phenomena on quantum Euclidean spaces, and establish the analogues of the Tomas-Stein restriction theorem and the two-dimensional full restriction theorem.
Comment: 20 pages
Comment: 20 pages
Externí odkaz:
http://arxiv.org/abs/2209.01570