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arXiv · 1107.0184

Regularity properties of Schr\"odinger operators

Tao Ma·P. R. Stinga·J. L. Torrea·Chao Zhang
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Abstract

Let L be a Schr\"odinger operator of the form L=-\Delta+V, where the nonnegative potential V satisfies a reverse H\"older inequality. Using the method of L-harmonic extensions we study regularity estimates at the scale of adapted H\"older spaces. We give a pointwise description of L-H\"older spaces and provide some characterizations in terms of the growth of fractional derivatives of any order and Carleson measures. Applications to fractional powers of L and multipliers of Laplace transform type developed.

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Tao Ma, P. R. Stinga, J. L. Torrea, Chao Zhang. 2011-07-01. Regularity properties of Schr\"odinger operators. https://arxiv.org/abs/1107.0184

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