Sobolev estimates and duality for ∂ on domains in CPn

Siqi Fu; Mei Chi Shaw

doi:10.4310/PAMQ.2022.v18.n2.a7

Sobolev estimates and duality for ∂ on domains in CPⁿ

Siqi Fu, Mei Chi Shaw

Rutgers Camden, Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We study L² and Sobolev estimates for solutions of the Cauchy-Riemann equation on pseudoconvex and pseudocon-cave domains in CPⁿ . We also formulate the weak and strong extensions of the ∂ equation in Sobolev spaces and study their dual problems.

Original language	English (US)
Pages (from-to)	503-529
Number of pages	27
Journal	Pure and Applied Mathematics Quarterly
Volume	18
Issue number	2
DOIs	https://doi.org/10.4310/PAMQ.2022.v18.n2.a7
State	Published - 2022

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Complex projective spaces
the Cauchy-Riemann op-erator

Access to Document

10.4310/PAMQ.2022.v18.n2.a7

Cite this

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title = "Sobolev estimates and duality for ∂ on domains in CPn",

abstract = "We study L2 and Sobolev estimates for solutions of the Cauchy-Riemann equation on pseudoconvex and pseudocon-cave domains in CPn . We also formulate the weak and strong extensions of the ∂ equation in Sobolev spaces and study their dual problems.",

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AU - Shaw, Mei Chi

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KW - Complex projective spaces

KW - the Cauchy-Riemann op-erator

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