Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
ESTIMATES OF THE FUNDAMENTAL SOLUTION FOR MAGNETIC SCHRÖDINGER OPERATORS AND THEIR APPLICATIONS
KAZUHIRO KURATASATOKO SUGANO
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ジャーナル フリー

2000 年 52 巻 3 号 p. 367-382

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抄録
We study the magnetic Schrodinger operator H on Rn, n ≥. We assume that the electrical potential V and the magnetic potential a belong to a certain reverse Hölder class, including the case that V is a non-negative polynomial and the components of a are polynomials. We show some estimates for operators of Schrödinger type by using estimates of the fundamental solution for H. In particular, we show that the operator ∇2 (-Δ+V)-1 is a Calderén-Zygmund operator.
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