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arXiv · 0903.4087

The Bergman projection and weighted $C^k$ estimates for the canonical solution to \dbar on non-smooth domains

Dariush Ehsani
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Abstract

We apply integral representations for functions on non-smooth strictly pseudoconvex domains, the Henkin-Leiterer domains, to derive weighted $C^k$ estimates for the component of a given function, $f$, which is orthogonal to holomorphic functions in terms of $C^k$ norms of $\mdbar f$. The weights are powers of the gradient of the defining function of the domain.

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Dariush Ehsani. 2009-03-24. The Bergman projection and weighted $C^k$ estimates for the canonical solution to \dbar on non-smooth domains. https://arxiv.org/abs/0903.4087

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