Weighted L^p estimates for powers of selfadjoint operators

Details Weighted L^p estimates for powers of selfadjoint operators Weighted L^p estimates for powers of selfadjoint operators

2010-02-19

arxiv.org/abs/1002.3800v4

Mathematics

Analysis of PDEs

We added references and improved substantially some results

Scientific paper

We prove $L^{p}$ and weighted $L^{p}$ estimates for bounded functions of a selfadjoint operator satisfying both a pointwise gaussian estimate for its heat kernel and a finite speed of propagation property. As an application, we obtain weighted estimates for fractiional powers of an electromagnetic Schr\"odinger operator with singular coefficienta. The proofs are based on a modification of techniques due to Hebisch and Auscher and Martell. EDIT: second version, November 2010, a few inaccuracies have been corrected.

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