Optimal Hölder and Lp estimates for ∂b on boundaries of convex domains of finite type

Heungju Ahn; Hong Rae Cho

doi:10.1016/S0022-247X(03)00485-2

Optimal Hölder and L^p estimates for ∂_b on boundaries of convex domains of finite type

Heungju Ahn, Hong Rae Cho

School of Undergraduate Studies

Pusan National University

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

3 Scopus citations

Abstract

We prove optimal Hölder and L^p estimates for solutions of the tangential Cauchy-Riemann equation on the boundary of a bounded convex domain of finite type in ℂⁿ using the integral kernel method.

Original language	English
Pages (from-to)	281-294
Number of pages	14
Journal	Journal of Mathematical Analysis and Applications
Volume	286
Issue number	1
DOIs	https://doi.org/10.1016/S0022-247X(03)00485-2
State	Published - 1 Oct 2003

Bibliographical note

Funding Information:
* Corresponding author. E-mail addresses: [email protected] (H. Ahn), [email protected] (H.R. Cho). 1 The author was partially supported by the Brain Korea 21 Project. 2 The author was supported by the Korea Research Foundation Grant (KRF-2001-DP0018).

Keywords

Convex domain of finite type
Hölder and L estimates
Tangential Cauchy-Riemann equation

Access to Document

10.1016/S0022-247X(03)00485-2

Cite this

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title = "Optimal H{\"o}lder and Lp estimates for ∂b on boundaries of convex domains of finite type",

abstract = "We prove optimal H{\"o}lder and Lp estimates for solutions of the tangential Cauchy-Riemann equation on the boundary of a bounded convex domain of finite type in ℂn using the integral kernel method.",

keywords = "Convex domain of finite type, H{\"o}lder and L estimates, Tangential Cauchy-Riemann equation",

author = "Heungju Ahn and Cho, \{Hong Rae\}",

note = "Funding Information: * Corresponding author. E-mail addresses: [email protected] (H. Ahn), [email protected] (H.R. Cho). 1 The author was partially supported by the Brain Korea 21 Project. 2 The author was supported by the Korea Research Foundation Grant (KRF-2001-DP0018).",

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AU - Cho, Hong Rae

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AB - We prove optimal Hölder and Lp estimates for solutions of the tangential Cauchy-Riemann equation on the boundary of a bounded convex domain of finite type in ℂn using the integral kernel method.

KW - Convex domain of finite type

KW - Hölder and L estimates

KW - Tangential Cauchy-Riemann equation

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