Weighted Lp estimates for the ∂-equation on convex domains of finite type

Heungju Ahn

doi:10.5565/PUBLMAT_48104_07

Weighted L^p estimates for the ∂-equation on convex domains of finite type

Heungju Ahn

School of Undergraduate Studies

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

2 Scopus citations

Abstract

We prove non-isotropic L^p (1 ≤ p ≤ ∞) estimates with weights for solutions of the Cauchy-Riemann equation on bounded convex domains of finite type in ℂⁿ using the integral kernel method. We also give an example which guarantees the optimum of the estimates.

Original language	English
Pages (from-to)	139-157
Number of pages	19
Journal	Publicacions Matematiques
Volume	48
Issue number	1
DOIs	https://doi.org/10.5565/PUBLMAT_48104_07
State	Published - 2004

Keywords

Cauchy-Riemann equation
Convex domain
Finite type
L estimates

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title = "Weighted Lp estimates for the ∂-equation on convex domains of finite type",

abstract = "We prove non-isotropic Lp (1 ≤ p ≤ ∞) estimates with weights for solutions of the Cauchy-Riemann equation on bounded convex domains of finite type in ℂn using the integral kernel method. We also give an example which guarantees the optimum of the estimates.",

keywords = "Cauchy-Riemann equation, Convex domain, Finite type, L estimates",

author = "Heungju Ahn",

year = "2004",

doi = "10.5565/PUBLMAT\_48104\_07",

language = "English",

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pages = "139--157",

journal = "Publicacions Matematiques",

issn = "0214-1493",

publisher = "Universitat Autonoma de Barcelona",

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T1 - Weighted Lp estimates for the ∂-equation on convex domains of finite type

AU - Ahn, Heungju

PY - 2004

Y1 - 2004

N2 - We prove non-isotropic Lp (1 ≤ p ≤ ∞) estimates with weights for solutions of the Cauchy-Riemann equation on bounded convex domains of finite type in ℂn using the integral kernel method. We also give an example which guarantees the optimum of the estimates.

AB - We prove non-isotropic Lp (1 ≤ p ≤ ∞) estimates with weights for solutions of the Cauchy-Riemann equation on bounded convex domains of finite type in ℂn using the integral kernel method. We also give an example which guarantees the optimum of the estimates.

KW - Cauchy-Riemann equation

KW - Convex domain

KW - Finite type

KW - L estimates

UR - https://www.scopus.com/pages/publications/2542492913

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DO - 10.5565/PUBLMAT_48104_07

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SN - 0214-1493

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SP - 139

EP - 157

JO - Publicacions Matematiques

JF - Publicacions Matematiques

IS - 1

ER -

Weighted L^p estimates for the ∂-equation on convex domains of finite type

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Keywords

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