Classes of weights and second order Riesz transforms associated to Schrödinger operators (Q296529)
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scientific article; zbMATH DE number 6597344
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classes of weights and second order Riesz transforms associated to Schrödinger operators |
scientific article; zbMATH DE number 6597344 |
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Classes of weights and second order Riesz transforms associated to Schrödinger operators (English)
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23 June 2016
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weights
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Schrödinger operators
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good-\(\lambda\) inequalities
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Riesz transforms
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heat kernels
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reverse Hölder
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In this article, the author considers Schrödinger operators NEWLINE\[NEWLINE\begin{aligned} L= \Delta + V, \end{aligned}NEWLINE\]NEWLINE where the potential \(V\) belongs to a reverse Hölder class. As the main result, he proves bounds for the Riesz transform \(D^2 L^{-2}\) in suitable, weighted \(L^p\) spaces. Here the weights are adapted to the operator. Key ingredients in the article are a good-\(\lambda\) inequality in the weighted spaces and heat kernel estimates.
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