ISOMORPHISMS OF VARIABLE HARDY SPACES ASSOCIATED WITH SCHRÖDINGER OPERATORS  

作　　者：Junqiang ZHANG Dachun YANG 张俊强;杨大春(School of Science,China University of Mining and Technology-Beijing,Beijing 100083,China;Laboratory of Mathematics and Complex Systems(Ministry of Education of China),School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China)

机构地区：[1]School of Science,China University of Mining and Technology-Beijing,Beijing 100083,China [2]Laboratory of Mathematics and Complex Systems(Ministry of Education of China),School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China

出　　处：《Acta Mathematica Scientia》2021年第1期39-66,共28页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(11801555 and 11971058);the Fundamental Research Funds for the Central Universities(2020YQLX02);supported by the National Natural Science Foundation of China(11971058,11761131002 and 11671185)。

摘　　要：Let L:=-△+V be the Schrodinger operator on R^(n)with n≥3,where V is a non-negative potential satisfying△^(-1)(V)∈L^(∞)(R^(n)).Let w be an L-harmonic function,determined by V,satisfying that there exists a positive constantδsuch that,for any x∈Rn,0<δ≤w(x)≤1.Assume that p(·):R^(n)→(0,1]is a variable exponent satisfying the globally log-Hölder continuous condition.In this article,the authors show that the mappings HL^(p)(·))(R^(n))■f■wf∈H^(p)(·)(R^(n))and HL^(p(·))(R^(n))■f■(-△)^(1/2)L^(-1/2)(f)∈H^(p(·))(R^(n))are isomorphisms between the variable Hardy spaces HL^(p(·))(R^(n)),associated with L,and the variable Hardy spaces H^(p(·))(R^(n)).

关 键 词：variable Hardy space Schrödinger operator L-harmonic function ISOMORPHISM ATOM 

分 类 号：O177.39[理学—数学]