Regularity properties of Schrodinger operators

  1. Ma, Tao
  2. Stinga , Pablo Raul
  3. Torrea, Jose L.
  4. Zhang, Chao
Journal:
Journal of Mathematical Analysis and Applications

ISSN: 0022-247X

Year of publication: 2012

Volume: 388

Issue: 2

Pages: 817-837

Type: Article

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DOI: 10.1016/J.JMAA.2011.10.006 WoS: WOS:000299127900016 GOOGLE SCHOLAR

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Abstract

Let L be a Schrodinger operator of the form L = -del + V, where the nonnegative potential V satisfies a reverse Holder inequality. Using the method of L-harmonic extensions we study regularity estimates at the scale of adapted Holder spaces. We give a pointwise description of L-Holder 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. (C) 2011 Elsevier Inc. All rights reserved.