Abstract
In this paper we will give a simple proof of the \(L^p({\gamma}d)\) continuity of the higher order Riesz transforms with respect to the Gaussian measure \({\gamma}d\), with constant independent of the dimension, by means of a multiplier theorem of P.A. Meyer.
Mathematics Subject Classification (2000):
- 60GXX
- 60HXX
- 60JXX
Wilfredo Urbina: Partially supported by CONICIT Grant G97000668
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© 2001 Springer-Verlag Berlin/Heidelberg
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Forzani, L., Scotto, R., Urbina, W. (2001). A simple proof of the Lp continuity of the higher order Riesz Transforms with respect to the Gaussian measure \({\gamma}d\). In: Azéma, J., Émery, M., Ledoux, M., Yor, M. (eds) Séminaire de Probabilités XXXV. Lecture Notes in Mathematics, vol 1755. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44671-2_12
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DOI: https://doi.org/10.1007/978-3-540-44671-2_12
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-41659-3
Online ISBN: 978-3-540-44671-2
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