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Existence of Extremals of Dunkl-Type Sobolev Inequality and of Stein�Weiss Inequality for Dunkl Riesz Potential

Adhikari, S and Anoop, VP and Parui, S (2021) Existence of Extremals of Dunkl-Type Sobolev Inequality and of Stein�Weiss Inequality for Dunkl Riesz Potential. In: Complex Analysis and Operator Theory, 15 (2).

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Official URL: https://dx.doi.org/10.1007/s11785-020-01068-1

Abstract

In this paper, we prove the existence of an extremal for the Dunkl-type Sobolev inequality in the case of p= 2. Also we prove the existence of an extremal of the Stein�Weiss inequality for the Dunkl Riesz potential in the case of r= 2. © 2021, Springer Nature Switzerland AG.

Item Type: Journal Article
Publication: Complex Analysis and Operator Theory
Publisher: Birkhauser
Additional Information: The copyright of this article belongs to Birkhauser
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 04 Mar 2021 09:53
Last Modified: 04 Mar 2021 09:53
URI: http://eprints.iisc.ac.in/id/eprint/67928

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