Carleson Measure Associated with the Fractional Heat Semigroup of Schrödinger Operator

Authors

  • Jizheng Huang
  • Shuangshuang Ying

DOI:

https://doi.org/10.4208/cmr.2024-0001

Keywords:

Schrödinger operator, reverse Hölder class, Carleson measure, fractional heat semigroup, Campanato spaces.

Abstract

Let $L=−∆+V$ be a Schrödinger operator, where $∆$ is the Laplacian on $\mathbb{R}^d$ and the nonnegative potential $V$ belongs to the reverse Hölder class $B_{d/2}.$ In this paper, we define a new version of Carleson measure associated with the fractional heat semigroup of Schrödinger operator $L.$ We will characterize the Campanato spaces and the predual spaces of the Hardy spaces by the new Carleson measure.

Published

2024-05-08

Issue

Section

Articles