Mathematical Sciences: Faculty Publications
Littlewood-Paley Theorem for Schrödinger Operators
Document Type
Article
Publication Date
12-2006
Publication Title
Analysis in Theory and Applications
DOI
10.1007/s10496-006-0353-1
ISSN
1573-8175
Abstract
Let H be a Schrödinger 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.
Recommended Citation
Zheng, Shijun.
2006.
"Littlewood-Paley Theorem for Schrödinger Operators."
Analysis in Theory and Applications, 22 (4): 353-361.
doi: 10.1007/s10496-006-0353-1
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/695
Copyright
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