The method of rotation and Marcinkiewicz integrals on product domains
Volume 153 / 2002
Studia Mathematica 153 (2002), 41-58
MSC: Primary 42B20; Secondary 42B25.
DOI: 10.4064/sm153-1-4
Abstract
We give some rather weak sufficient condition for $L^p$ boundedness of the Marcinkiewicz integral operator $\mu _{\mit \Omega } $ on the product spaces ${\mathbb R}^n\times {\mathbb R}^m$ ($1< p< \infty $), which improves and extends some known results.
