Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419332 | Journal of Mathematical Analysis and Applications | 2012 | 21 Pages |
Abstract
Let L be a Schrödinger operator of the form L=âÎ+V, where the nonnegative potential V satisfies a reverse Hölder inequality. Using the method of L-harmonic extensions we study regularity estimates at the scale of adapted Hölder spaces. We give a pointwise description of L-Hölder 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Tao Ma, Pablo Raúl Stinga, José L. Torrea, Chao Zhang,