当前位置:
X-MOL 学术
›
J. Funct. Spaces
›
论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Regularities of Time-Fractional Derivatives of Semigroups Related to Schrodinger Operators with Application to Hardy-Sobolev Spaces on Heisenberg Groups
Journal of Function Spaces ( IF 1.9 ) Pub Date : 2020-10-10 , DOI: 10.1155/2020/8851287 Zhiyong Wang 1 , Chuanhong Sun 1 , Pengtao Li 1
Journal of Function Spaces ( IF 1.9 ) Pub Date : 2020-10-10 , DOI: 10.1155/2020/8851287 Zhiyong Wang 1 , Chuanhong Sun 1 , Pengtao Li 1
Affiliation
In this paper, assume that is a Schrödinger operator on the Heisenberg group , where the nonnegative potential belongs to the reverse Hölder class . By the aid of the subordinate formula, we investigate the regularity properties of the time-fractional derivatives of semigroups and , respectively. As applications, using fractional square functions, we characterize the Hardy-Sobolev type space associated with . Moreover, the fractional square function characterizations indicate an equivalence relation of two classes of Hardy-Sobolev spaces related with .
中文翻译:
与薛定inger算子有关的半群的时间分数阶导数的正则性及其在海森堡群上的Hardy-Sobolev空间中的应用
在本文中,假设 是Heisenberg集团的Schrödinger算子,非负势属于反向Hölder类。由从属式的辅助下,我们研究半群的时间分数阶导数的正则性和,分别。作为应用程序,我们使用分数平方函数来表征与关联的Hardy-Sobolev类型空间。此外,分数平方函数特征表示与相关的两类Hardy-Sobolev空间的等价关系。
更新日期:2020-10-11
中文翻译:
与薛定inger算子有关的半群的时间分数阶导数的正则性及其在海森堡群上的Hardy-Sobolev空间中的应用
在本文中,假设 是Heisenberg集团的Schrödinger算子,非负势属于反向Hölder类。由从属式的辅助下,我们研究半群的时间分数阶导数的正则性和,分别。作为应用程序,我们使用分数平方函数来表征与关联的Hardy-Sobolev类型空间。此外,分数平方函数特征表示与相关的两类Hardy-Sobolev空间的等价关系。