逆Holder类中具有势的薛定谔算子广义Morrey空间上的有界性

Pub Date : 2023-10-13 DOI:10.58997/ejde.2023.67
Guiyun Wang, Shenzhou Zheng
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引用次数: 0

摘要

在本文中,我们证明了在系数上具有弱正则性的薛定谔算子的Hessian的有界性,并且势满足反向Hölder条件。这是在广义Morrey空间和消失广义Morrey空间中完成的。在薛定谔算子\(L=-a_{ij}(x)D_{ij}+V(x)\)上,假设\(a_{ij}\in \rm{BMO}_{\theta}(\rho)\)(广义Morrey空间)和\(V(x)\in B^*_{n/2}\)(反向Holder类)。
欲了解更多信息,请参阅https://ejde.math.txstate.edu/Volumes/2023/67/abstr.html
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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Boundedness on generalized Morrey spaces for the Schrodinger operator with potential in a reverse Holder class
In this article, we prove boundedness for the Hessian of a Schrodinger operator with weak regularity on the coefficients, and potentials satisfying the reverse H\"older condition. This is done in in generalized Morrey spaces, and in vanishing generalized Morrey spaces. On the Schrodinger operator \(L=-a_{ij}(x)D_{ij}+V(x)\) it is assumed that \(a_{ij}\in \rm{BMO}_{\theta}(\rho)\) (a generalized Morrey space) and that \(V(x)\in B^*_{n/2}\) (a reverse Holder class). For more information see https://ejde.math.txstate.edu/Volumes/2023/67/abstr.html
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