- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnline Submission ㆍMy Manuscript - For Reviewers - For Editors
 Growth norm estimates for $\bar\partial$ on convex domains Commun. Korean Math. Soc. 2007 Vol. 22, No. 1, 111-119 Printed March 1, 2007 Hong Rae Cho, Ern Gun Kwon Pusan National University, Andong National University Abstract : We consider the growth norm of a measurable function $f$ defined by $$\|f\|_{-\sigma}=\text{ess\ sup}\{\delta_D(z)^\sigma|f(z)|:z\in D\},$$ where $\delta_D(z)$ denote the distance from $z$ to $\partial D$. We prove some kind of optimal growth norm estimates for $\bar\partial$ on convex domains. Keywords : growth norm estimates for $\bar\partial$, Lipschitz space, convex domains MSC numbers : 32W05,32A26, 32A36 Downloads: Full-text PDF