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Indefinite higher Riesz transforms

✍ Scribed by Toshiyuki Kobayashi; Andreas Nilsson


Book ID
107382400
Publisher
Springer Netherlands
Year
2009
Tongue
English
Weight
222 KB
Volume
47
Category
Article
ISSN
0004-2080

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✍ Piotr Graczyk; Jean-J. Loeb; Iris A. LΓ³pez P.; Adam Nowak; Wilfredo O. Urbina R. πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 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