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null Brüdern, Jörg / Bruinier, Jan Hendrik / Cohen, Frederick R. / Droste, Manfred / Duzaar, Frank / Gallavotti, Giovanni / Garnier, Josselin / Neeb, Karl-Hermann / Noguchi, Junjiro / Segal, Dan / Freydoon, Shahidi / Shigekawa, Ichiro / Sogge, Christopher D. / Strambach, Karl
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1LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P. R. China.
2Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, P. R. China.
Citation Information: Forum Mathematicum. Volume 23, Issue 1, Pages 161–179, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: 10.1515/form.2011.007, April 2010
Publication History:
In this paper, we consider the parabolic Schrödinger differential operators ∂ t – Δ + V(x), where the nonnegative potential V belongs to the reverse Hölder class Bq for q ≥ n/2. The Lp estimates for these operators (∂ t – Δ + V) iγ (γ ∈ ℝ) and ∇(∂ t – Δ + V)–1/2 are obtained.
Keywords.: Schrödinger type operator; nonnegative potentials
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