Littlewood-Paley Theorem for Schrodinger Operators
Abstract
Let H be a Schrodinger operator on Rn. Under a polynomial decay condition for the kernel of its spectral operator we show that the Besov spaces and Triebel-Lizorkin spaces associated with H are well defined. We further give a Littlewood-Paley characterization of Lp spaces in terms of dyadic functions of H. This generalizes and strengthens the previous result when the heat kernel of H satisfies certain upper Gaussian bound.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 26, 2006
- Accession Number
- ADA633512
Entities
People
- Shijun Zheng
Organizations
- University of South Carolina