3 papers
math.CA2026
Spectrality of factors of product spectral measures
Mihail N. Kolountzakis, Chun-Kit Lai, Kailing Lai +1
We refine the method by Greenfeld and Lev for the product spectral set problem and generalize the theorem to a singular measure setting. Furthermore, we establish a new class of sp…
math.FA2025
Quantitative Hardy--Littlewood maximal inequalities and Wiener--Stein theorem on p.c.f. fractals
Long Huang, Jinjun Li, Xiaofeng Wang
Let be a post-critically finite (p.c.f.) self-similar set with Hausdorff dimension , and be a self-similar probability measure supported on . Let…
math.NT2023
Spectra of the Sierpiński type spectral measure and their Beurling dimensions
Jinjun Li, Zhiyi Wu
In this paper, we study the structure of the spectra for the Sierpiński type spectral measure on . We give a sufficient and necessary condition fo…