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://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.
| Item Type: | Journal Article |
|---|---|
| Publication: | Complex Analysis and Operator Theory |
| Publisher: | Birkhauser |
| Additional Information: | The copyright for this article belongs to Birkhauser. |
| Keywords: | Dunkl transform; Riesz potential; Sobolev inequality; Stein–Weiss inequality |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 08 Mar 2023 12:58 |
| Last Modified: | 08 Mar 2023 12:58 |
| URI: | https://eprints.iisc.ac.in/id/eprint/80859 |
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