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On Higher Riesz Transforms for Gaussian Measures

✍ Scribed by Cristian E. Gutierrez; Carlos Segovia; Jose Luis Torrea


Book ID
113014996
Publisher
SP Birkhäuser Verlag Boston
Year
1995
Tongue
English
Weight
265 KB
Volume
2
Category
Article
ISSN
1069-5869

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Higher order Riesz transforms, fractiona
✍ Piotr Graczyk; Jean-J. Loeb; Iris A. López P.; Adam Nowak; Wilfredo O. Urbina R. 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 244 KB

We study different Sobolev spaces associated with multidimensional Laguerre expansions. To do this we establish an analogue of P.A. Meyer's multiplier theorem, prove some transference results between higher order Riesz-Hermite and Riesz-Laguerre transforms, and introduce fractional derivatives and i