Existence of an extremal of Dunkl-type Sobolev inequality and of Stein-Weiss inequality for D-Riesz potential
Abstract
In this paper, we prove the existence of an extremal for the Dunkl-type Sobolev inequality in case of p=2. Also we prove the existence of an extremal of the Stein-Weiss inequality for the D-Riesz potential in case of r=2.
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