Optimal H\"older Regularity of Solution Operator to the $\bar\partial$-equation on Product Domains
Complex Variables
2022-04-26 v3 Analysis of PDEs
Abstract
This note seeks to prove the existence of a canonical solution operator to the -equation that preserves H\"older regularity on product domains. It is a well known fact that such solution operators do not in general gain H\"older regularity, and as such, our solution operator is optimal in this regard.
Keywords
Cite
@article{arxiv.2204.07690,
title = {Optimal H\"older Regularity of Solution Operator to the $\bar\partial$-equation on Product Domains},
author = {Yu Jun Loo},
journal= {arXiv preprint arXiv:2204.07690},
year = {2022}
}
Comments
This paper has been withdrawn due to a gap in the main theorem