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arXiv · 2204.07690

Optimal H\"older Regularity of Solution Operator to the $\bar\partial$-equation on Product Domains

Yu Jun Loo
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Abstract

This note seeks to prove the existence of a canonical solution operator to the $\bar\partial$-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.

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Yu Jun Loo. 2022-04-16. Optimal H\"older Regularity of Solution Operator to the $\bar\partial$-equation on Product Domains. https://arxiv.org/abs/2204.07690

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