[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2007.22.1.111

GROWTH NORM ESTIMATES FOR ¯∂ ON CONVEX DOMAINS

Cho, Hong-Rae (Department of Mathematics Pusan National University)
Kwon, Ern-Gun (Department of Mathematics Education Andong National University)

Publication Information

Communications of the Korean Mathematical Society / v.22, no.1, 2007 , pp. 111-119 More about this Journal

Abstract

We consider the growth norm of a measurable function f defined by defined by ${\parallel}f{\parallel}-\sigma=ess\;sup\{\delta_D(z)^\sigma{\mid}f(z)\mid:z{\in}D\}$ , where $\delta_D(z)$ denote the distance from z to ${\partial}D$ . We prove some kind of optimal growth norm estimates for a on convex domains.

Keywords

growth norm estimates for $\={\partial}$ ; Lipschitz space; convex domains;

Citations & Related Records

Times Cited By SCOPUS : 0

Reference

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