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arXiv · 1902.08530

Existence of an extremal of Dunkl-type Sobolev inequality and of Stein-Weiss inequality for D-Riesz potential

Saswata Adhikari·V. P. Anoop·Sanjay Parui
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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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Saswata Adhikari, V. P. Anoop, Sanjay Parui. 2019-02-22. Existence of an extremal of Dunkl-type Sobolev inequality and of Stein-Weiss inequality for D-Riesz potential. https://arxiv.org/abs/1902.08530

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