Weighted Hardy–Littlewood–Sobolev inequalities on the upper half space
2016 ◽
Vol 18
(05)
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pp. 1550067
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Keyword(s):
In this paper, we establish a weighted Hardy–Littlewood–Sobolev (HLS) inequality on the upper half space using a weighted Hardy type inequality on the upper half space with boundary term, and discuss the existence of extremal functions based on symmetrization argument. As an application, we can show a weighted Sobolev–Hardy trace inequality with [Formula: see text]-biharmonic operator.
2020 ◽
Vol 6
(2)
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pp. 198-209
2008 ◽
Vol 347
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pp. 645-651
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2019 ◽
Vol 21
(07)
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pp. 1850055
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1998 ◽
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pp. 213-221
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Vol 106
(2)
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2010 ◽
Vol 35
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pp. 679-680
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Keyword(s):
2010 ◽
Vol 62
(5)
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pp. 1116-1130
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2010 ◽
Vol 216
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pp. 1972-1977
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