Skew von Neumann constant in Weak Orlicz Spaces and Weak Lebesgue Spaces
Functional Analysis
2025-08-12 v1
Abstract
This paper defines the skew von Neumann constant in quasi-Banach spaces. Meanwhile, we obtain two constants. It presents the upper and lower bounds of two constants. Subsequently, it deduces the lower bound of the skew von Neumann constant within weak Orlicz spaces. Then, leveraging the relationship between weak Orlicz spaces and weak Lebesgue spaces, the lower bound of the skew von Neumann - Jordan constant in weak Lebesgue spaces is established. Meanwhile, in this paper, we also generalize the skew von Neumann constant. Then we present the lower bounds for the -th von Neumann constant in weak Orlicz spaces and weak Lebesgue spaces.
Keywords
Cite
@article{arxiv.2508.06999,
title = {Skew von Neumann constant in Weak Orlicz Spaces and Weak Lebesgue Spaces},
author = {Haoyu Zhou and Qi Liu and Yuxin Wang and Man Liang and Linlin Fu},
journal= {arXiv preprint arXiv:2508.06999},
year = {2025}
}