SUBCRITICAL APPROACH TO SHARP HARDY-LITTLEWOOD-SOBOLEV TYPE INEQUALITIES ON THE UPPER HALF SPACE
讲座名称：
SUBCRITICAL APPROACH TO SHARP HARDY-LITTLEWOOD-SOBOLEV TYPE INEQUALITIES ON THE UPPER HALF SPACE
讲座时间：
2021-01-19
讲座人：
郭千桥
形式：
校区：
兴庆校区
实践学分：
讲座内容：
讲座题目：SUBCRITICAL APPROACH TO SHARP HARDY-LITTLEWOOD-SOBOLEV TYPE INEQUALITIES ON THE UPPER HALF SPACE
讲座时间：2021年1月19日下午4：00---5：00
讲座地点：数学楼2-1会议室
讲座人：郭千桥 (西北工业大学)
讲座内容：
We establish the reversed sharp Hardy-Littlewood-Sobolev (HLS for short) inequality on the upper half space and obtain a new HLS type integral inequality on the upper half space (extending an inequality found by Hang, Wang
and Yan) by introducing a uniform approach. The extremal functions are classied via the method of moving spheres, and the best constants are computed. The new approach can also be applied to obtain the classical HLS inequality and other similar inequalities. This is a joint work with Prof. Jingbo Dou and Prof. Meijun Zhu.
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