Weighted inequalities for negative powers of Schrödinger operators
type: Item
instance of: scholarly article
title: Weighted inequalities for negative powers of Schrödinger operators
zbMATH Open document ID: 1151.47050
published in: Journal of Mathematical Analysis and Applications
publication date: 2008-10-06T00:00:00Z
review text: Let \(L=-\Delta +V\) be the Schrödinger operator on \(\mathbb R^d\), \(d\geq 3\), where \(V\geq 0\) is a function satisfying for some \(q\geq d/2\) the reverse Hölder inequality \[ \left (\frac{1}{| B| } \int_B V(y) ^q \,dy \right )^{1/q} \leq \frac{C}{| B| } \int_B V(y) \,dy \] for every ball \(B\) in \(\mathbb R^d\). The paper deals with the operator \(I_\alpha =L^{-\alpha/2}\), \(\alpha >0\), the action of which is considered on weighted weak \(L^p\) spaces and on a certain new class of BMO spaces. New boundedness and characterization results are obtained.
reviewed by: Boris Rubin
Mathematics Subject Classification ID: 47G10
Mathematics Subject Classification ID: 26B99
zbMATH DE Number: 5349064
zbMATH Keywords: Schrödinger operators
zbMATH Keywords: weak \(L^p\) spaces
zbMATH Keywords: BMO spaces
author: B. Bongioanni
author: E. Harboure
author: O. Salinas
MaRDI profile type: Publication
full work available at URL: j.jmaa.2008.06.045
OpenAlex ID: W2033567254
cites work: BMO spaces related to Schrödinger operators with potentials satisfying a reverse Hölder inequality
cites work: Hardy space \(H^1\) associated to Schrödinger operator with potential satisfying reverse Hölder inequality
cites work: Q4798586
cites work: Hpspaces associated with Schrödinger operators with potentials from reverse Hölder classes
cites work: Boundedness of the fractional integral on weighted Lebesgue and Lipschitz spaces
cites work: An Estimate on the Heat Kernel of Magnetic Schrödinger Operators and Uniformly Elliptic Operators with Non-Negative Potentials
cites work: \(L^ p\) estimates for Schrödinger operators with certain potentials
DOI: 10.1016/J.JMAA.2008.06.045
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description: scientific article; zbMATH DE number 5349064