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.