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Power weightedLp-inequalities for Laguerre–Riesz transforms

✍ Scribed by Eleonor Harboure; Carlos Segovia; José L. Torrea; Beatriz Viviani


Book ID
107382390
Publisher
Springer Netherlands
Year
2008
Tongue
English
Weight
358 KB
Volume
46
Category
Article
ISSN
0004-2080

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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