Carleson Measure Associated with the Fractional Heat Semigroup of Schrodinger Operator  

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作  者:Jizheng Huang Shuangshuang Ying 

机构地区:[1]Key Laboratory of Mathematics and Information Networks and School of Science,Beijing University of Posts and Telecommunications,Beijing 100876,P.R.China.

出  处:《Communications in Mathematical Research》2024年第2期191-213,共23页数学研究通讯(英文版)

基  金:the Fundamental Research Funds for the Central Universities(#500423101).

摘  要:Let L=-△+V be a Schrodinger operator,where△is the Laplacian on Rd and the nonnegative potential V belongs to the reverse Holder class Ba/2.In this paper,we define a new version of Carleson measure associated with the fractional heat semigroup of Schrodinger operator L.We will characterize the Campanato spaces and the predual spaces of the Hardy spaces by the new Carleson measure.

关 键 词:Schrodinger operator reverse Holder class Carleson measure fractional heat semigroup Campanato spaces 

分 类 号:O411[理学—理论物理]

 

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