Some estimates of Schrodinger type operators on variable Lebesgue and Hardy spaces
Some estimates of Schrodinger type operators on variable Lebesgue and Hardy spaces
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变量勒贝格和哈代空间上薛定谔型算子的一些估计
DOI：
10.1007/s43037-019-00020-6
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发表时间：
2020
影响因子：
1.2
通讯作者：
Liu Zongguang
中科院分区：
文献类型：
--
作者：
Zhang Junqiang;Liu Zongguang
本文考虑了矩阵A满足一致椭圆条件，非负位势V属于逆Hölder类的Schrodinger型算子.设为满足全局Hölder连续条件的变指数函数。当时，证明了算子，和在变Lebesgue空间上有界.当时，作者引入了与L相关联的变哈代空间，并证明了，和有界.
In this article, the authors consider the Schrödinger type operatoronwith, where the matrixAsatisfies uniformly elliptic condition and the nonnegative potentialVbelongs to the reverse Hölder classwith. Letbe a variable exponent function satisfying the globally-Hölder continuous condition. When, the authors prove that the operators,andare bounded on variable Lebesgue space. When, the authors introduce the variable Hardy space, associated toL, and show that,andare bounded fromto.