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Author: Feng, Han
Subject: Hardy-Littlewood-Sobolev Inequality
Subject: Spherical harmonic
Departments: Department of Mathematical and Statistical Sciences
Languages: English
Collections: Graduate and Postdoctoral Studies (GPS), Faculty of
Collections: Graduate and Postdoctoral Studies (GPS), Faculty of /Theses and Dissertations
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Fall 2013
One of the main aims in this thesis is to establish analogues of the classical Hardy-Littlewood-Sobolev (HLS) inequality for weighted orthogonal polynomial expansions (WOPEs) on the unit sphere, the unit ball and the simplex. An optimal condition for which this inequality holds is obtained....
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