The Cauchy Integral Operator on the Predual of a Morrey Space

We show that the Cauchy integral operator is bounded from Hp,φ(R1) (the predual of a Morrey space) to hp,φ(R1) (the local version of Hp,φ(R1)). To prove our theorem we will introduce generalized atoms and consider a variant of “Tb theorem.”

Bibliographic Details
Main Authors: Jianmiao Ruan, Jiecheng Chen
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2010/729824