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arxiv: 1310.1999 · v1 · pith:TS3HDUDZnew · submitted 2013-10-08 · 🧮 math.CA

Revisiting Riesz transforms for Hermite and Special Hermite Operators

classification 🧮 math.CA
keywords hermiteoperatorsestimatesrieszspecialtransformsassociateddefined
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In this paper we prove weighted mixed norm estimates for Riesz transforms associated to Hermite and special Hermite operators. The estimates are shown to be equivalent to vectorvalued esimates for a sequence of operators defined in terms of Laguerre functions of different type.

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