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Sobolev Spaces and Potential Spaces Associated to Hermite Polynomials Expansions
2017
Extracta Mathematicae
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The aim of this paper is to study the relation existing between potential spaces and Sobolev spaces, induced by the Ornstein-Uhlenbeck differential operator and associated to Hermite polynomials expansions, where we consider the multidimensional Gaussian measure. By means of analytical methods we prove that potential spaces and Sobolev spaces are spaces with equivalent norms.
doi:10.17398/2605-5686.33.2.229
fatcat:j3dkgazdnfhodnghd2t6v4z7ve