Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2019; 56(4): 929-937

Online first article July 9, 2019      Printed July 31, 2019

https://doi.org/10.4134/BKMS.b180684

Copyright © The Korean Mathematical Society.

On H\"older estimates for Cauchy transforms on convex domains in $\mathbb{C}^2$

Ly Kim Ha

Vietnam National University

Abstract

The main purpose of this paper is to establish H\"older estimates for the Cauchy transform in a class of finite/infinite type convex domains in $\mathbb{C}^2$.

Keywords: Cauchy transform, Lipschitz spaces, convex domain, infinite type, Cauchy-Fantappi\`e form

MSC numbers: 32A25, 32A40, 32F15

Supported by: This research is funded by Vietnam National University Ho Chi Minh City (VNU-HCM) under grant number B2019-18-01.