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Hardy–Littlewood–Sobolev Inequality for Upper Half Space

Anoop, VP and Parui, Sanjay (2022) Hardy–Littlewood–Sobolev Inequality for Upper Half Space. In: Annales Mathématiques Blaise Pascal, 28 (2). pp. 117-140. ISSN 2118-7436

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Official URL: https://doi.org/10.5802/ambp.401

Abstract

We define an extension operator and study ( Lp, Lq ) boundedness of Hardy–Littlewood–Sobolev inequality and weighted Hardy–Littlewood–Sobolev inequality on upper Half space for the Dunkl transform.

Item Type: Journal Article
Publication: Annales Mathématiques Blaise Pascal
Additional Information: The copyright of this article belongs to the authors.
Keywords: Dunkl transform; Hardy–Littlewood–Sobolev inequality; Weighted Hardy inequality
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 20 May 2022 10:15
Last Modified: 20 May 2022 10:15
URI: https://eprints.iisc.ac.in/id/eprint/72445

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