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

Autor: Adhikari, Saswata, Anoop, V. P., Parui, Sanjay
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: 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 $r=2$.
Comment: 30 pages
Databáze: arXiv