کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5778476 1633776 2017 45 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Subcritical approach to sharp Hardy-Littlewood-Sobolev type inequalities on the upper half space
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Subcritical approach to sharp Hardy-Littlewood-Sobolev type inequalities on the upper half space
چکیده انگلیسی
In this paper 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 in [6]) by introducing a uniform approach. The extremal functions are classified 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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 312, 25 May 2017, Pages 1-45
نویسندگان
, , ,