Weighted norm inequalities for heat-diffusion Laguerre’s semigroups
✍ Scribed by Anibal Chicco Ruiz; Eleonor Harboure
- Publisher
- Springer-Verlag
- Year
- 2007
- Tongue
- French
- Weight
- 369 KB
- Volume
- 257
- Category
- Article
- ISSN
- 0025-5874
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We prove norm inequalities with exponential weights for the Riemann Liouville fractional integral. As an application, we show for certain functions that their Laguerre expansions will converge in the L p norm for some p outside the standard range of (4Â3, 4).
We prove weighted normal inequalities for conjugate A-harmonic tensors in John domains which can be considered as generalizations of the Hardy and Littlewood theorem for conjugate harmonic functions.
We define pluriharmonic conjugate functions on the unit ball of n . Then we show that for a weight there exist weighted norm inequalities for pluriharmonic conjugate functions on L p if and only if the weight satisfies the A p -condition. As an application, we prove the equivalence of the weighted n
If r is a nonzero constant, then HS r is just a well-known class of weights due to H. Helson and G. Szego (Ann. Mat. Pura Appl. 51 (1960), 107 138). Moreover we study the Koosis-type problem of two weights of S :, ; and get very simple necessary and sufficient conditions for such weights. 1997 Acad