Littlewood-Paley Theorem for Schrodinger Operators
SOUTH CAROLINA UNIV COLUMBIA DEPT OF MATHEMATICS
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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.
- Numerical Mathematics