Sobolev [inline-graphic 01] estimate for the [inline-graphic 02] equation on strictly pseudoconvex domains with C 2 boundary

We construct a solution operator for the$\dbar$equation that gains$\yh$derivative in the fractional Sobolev space$H^{s,p}$on bounded strictly pseudoconvex domains in$\mathbb{C}^n$with$C^2$boundary, for all$1\infty$and$s>\frac{1}{p}$ .

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Bibliographic Details
Published in:American journal of mathematics 2025-02, Vol.147 (1), p.235-277
Main Authors: Shi, Ziming, Yao, Liding
Format: Article
Language:English
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