Advances in Nonlinear Analysis (Nov 2023)
Reversed Hardy-Littlewood-Sobolev inequalities with weights on the Heisenberg group
Abstract
In this article, we establish some reverse weighted Hardy-Littlewood-Sobolev inequalities on the Heisenberg group. We then show the existence of extremal functions for the above inequalities by combining the subcritical approach and the renormalization method.
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