BOUNDEDNESS OF VARIATION OPERATORS ASSOCIATED WITH THE HEAT SEMIGROUP GENERATED BY HIGH ORDER SCHRODINGER TYPE OPERATORS  

作　　者：Suying LIU Chao ZHANG 刘素英;张超(Department of Applied Mathematics,Northwest Poly technical University,Xi'an 710072,China;School of Statistics and Mathematics,Zhejiang Gongshang University,Hangzhou 310018,China)

机构地区：[1]Department of Applied Mathematics,Northwest Poly technical University,Xi'an 710072,China [2]School of Statistics and Mathematics,Zhejiang Gongshang University,Hangzhou 310018,China

出　　处：《Acta Mathematica Scientia》2020年第5期1215-1228,共14页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(11701453);Fundamental Research Funds for the Central Universities(31020180QD05);The second author was supported by the National Natural Science Foundation of China(11971431,11401525);the Natural Science Foundation of Zhejiang Province(LY18A010006);and the first Class Discipline of Zhejiang-A(Zhejiang Gongshang University-Statistics).

摘　　要：In this article,we derive the Lp-boundedness of the variation operators associated with the heat semigroup which is generated by the high order Schrodinger type operator(—Δ)^2+V%2 in R%n(n≥5)with V being a nonnegative potential satisfying the reverse Holder inequality.Furt her more,we prove the boundedness of the variation operators on associated Morrey spaces.In the proof of the main results,we always make use of the variation inequalities associated with the hea t semigroup genera ted by the biharmonic operator(-Δ)2.

关 键 词：Variation operators high order Schrodinger type operators heat semigroup 

分 类 号：O177[理学—数学] O152.7[理学—基础数学]