Hypercontractive inequalities and Nikol'ski\u{\i}-type inequalities on weighted Bergman spaces
Functional Analysis
2025-05-21 v2 Complex Variables
Abstract
In this note, we obtianed hypercontractive inequalities between different weighted Bergman spaces. In addition, we establish Nikol'ski\u{\i}-type inequalities for weighted Bergman spaces with optimal constants.
Keywords
Cite
@article{arxiv.2505.12760,
title = {Hypercontractive inequalities and Nikol'ski\u{\i}-type inequalities on weighted Bergman spaces},
author = {Zipeng Wang and Kenan Zhang},
journal= {arXiv preprint arXiv:2505.12760},
year = {2025}
}