Journal of Operator Theory

Volume 68, Issue 1, Summer 2012 pp. 3-17.

Fractional integral operators on weighted anisotropic Hardy spaces

Authors: Sen-Hua Lan (1), Ming-Yi Lee (2), and Chin-Cheng Lin (3)
Author institution: (1) Department of Mathematics, Lishui University, Lishui, Zhejiang 323000, China
(2) Department of Mathematics, National Central University, Chung-Li 320, Taiwan
(3) Department of Mathematics, National Central University, Chung-Li 320, Taiwan

Summary: In this article we study the fractional integral operators associated with anisotropic setting. We derive weighted norm inequalities for these operators on weighted anisotropic

$H^p$ spaces and weighted

$L^p$ spaces.

Contents Full-Text PDF