Cylinder Multipliers Associated with a Convex Polygon期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Cylinder Multipliers Associated with a Convex Polygon

Authors:	Sunggeum Hong Joonil Kim Chan Woo Yang

Affiliation:	(1) Department of Mathematics, Chosun University, Gwangju, 501-759, Korea;(2) Department of Mathematics, Chung-Ang University, Seoul, 156-756, Korea;(3) Department of Mathematics, Korea University, Seoul, 136-701, Korea

Abstract:	In this paper we prove that sharp weak-type estimates for the maximal operators associated with a cylindric distance function associated with a convex polygon on $H^p({mathbb{R}}^3)$ when 2/3 < p < 1 and $delta = 3(frac{1}{p} - 1)$ , or when p = 2/3 and $delta > 3(frac{1}{p} - 1)$ . This work was supported (in part) by research funds from Chosun University, 2007.

Keywords:	Primary 42B15 Secondary 42B30
本文献已被 SpringerLink 等数据库收录！