On H\"older estimates for Cauchy transforms on convex domains in $\mathbb{C}^2$ Bull. Korean Math. Soc. 2019 Vol. 56, No. 4, 929-937 https://doi.org/10.4134/BKMS.b180684 Published online July 9, 2019 Printed July 31, 2019 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. Downloads: Full-text PDF   Full-text HTML