Year: 2024
Author: Jizheng Huang, Shuangshuang Ying
Communications in Mathematical Research , Vol. 40 (2024), Iss. 2 : pp. 191–213
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmr.2024-0001
Communications in Mathematical Research , Vol. 40 (2024), Iss. 2 : pp. 191–213
Published online: 2024-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Schrödinger operator reverse Hölder class Carleson measure fractional heat semigroup Campanato spaces.