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

4 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.",

keywords = "Complex projective spaces, the Cauchy-Riemann op-erator",

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AU - Shaw, Mei Chi

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AB - 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.

KW - Complex projective spaces

KW - the Cauchy-Riemann op-erator

UR - https://www.scopus.com/pages/publications/85131184937

UR - https://www.scopus.com/pages/publications/85131184937#tab=citedBy

U2 - 10.4310/PAMQ.2022.v18.n2.a7

DO - 10.4310/PAMQ.2022.v18.n2.a7

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JF - Pure and Applied Mathematics Quarterly

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