Accession Number:

ADA633512

Title:

Littlewood-Paley Theorem for Schrodinger Operators

Descriptive Note:

Corporate Author:

SOUTH CAROLINA UNIV COLUMBIA DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

2006-07-26

Pagination or Media Count:

10.0

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.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE