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Higher integrability via Riesz transforms and interpolation

✍ Scribed by Claudia Capone; Luigi Greco; Tadeusz Iwaniec

Book ID
104329576
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
105 KB
Volume
49
Category
Article
ISSN
0362-546X

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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