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math.FA2025
Noncommutative Bourgain's circular maximal theorem and a local smoothing estimate on the generalized Moyal planes
Guixiang Hong, Xudong Lai, Liang Wang
In this paper, we establish a local smoothing estimate on two-dimensional quantum Euclidean space. This is the noncommutative analogue of the one due to MockenhauptSeegerSogg…
math.FA2024
A noncommutative maximal inequality for Fejér means on totally disconnected non-abelian groups
Fugui Ding, Guixiang Hong, Xumin Wang
In this paper, we explore Fourier analysis for noncommutative space-valued functions on , where is a totally disconnected non-abelian compact group. By additionally as…