Search Results for author: Sundaram Thangavelu

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An extension problem, trace Hardy and Hardy's inequalities for Ornstein-Uhlenbeck operator

no code implementations15 Dec 2020 Pritam Ganguly, Ramesh Manna, Sundaram Thangavelu

In this paper, we study an extension problem for the Ornstein-Uhlenbeck operator $L=-\Delta+2x\cdot\nabla +n$ and we obtain various characterisations of the solution of the same.

Analysis of PDEs Classical Analysis and ODEs Primary:26D10, 35J15, Secondary:26A33, 33C45, 35A23, 43A80

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