Da Lio-Rivi\`{e}re-Wettstein-type inequality for weighted Bergman spaces
Complex Variables
2025-05-08 v2 Analysis of PDEs
Functional Analysis
Abstract
In this paper, inspired by the work of Da Lio-Rivi\`{e}re-Wettstein, we investigate the boundary-value characterizations of weighted Bergman spaces and establish a weighted Da Lio-Rivi\`{e}re-Wettstein inequality. In addition, we obtain analogous results on the upper plane which does not seem to be a direct consequence of the ones on the unit disk.
Keywords
Cite
@article{arxiv.2111.10950,
title = {Da Lio-Rivi\`{e}re-Wettstein-type inequality for weighted Bergman spaces},
author = {Yong Han and Yanqi Qiu and Zipeng Wang},
journal= {arXiv preprint arXiv:2111.10950},
year = {2025}
}
Comments
28 pages