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| Pàgina inicial > Articles > Articles publicats > Two problems associated with convex finite type domains |
| Data: | 2002 |
| Resum: | We use scaling properties of convex surfaces of finite line type to derive new estimates for two problems arising in harmonic analysis. For Riesz means associated to such surfaces we obtain sharp Lp estimates for p > 4, generalizing the Carleson-Sjölin theorem. Moreover we obtain estimates for the remainder term in the lattice point problem associated to convex bodies; these estimates are sharp in some instances involving sufficiently flat boundaries. |
| Drets: | Tots els drets reservats.  |
| Llengua: | Anglès. |
| Document: | Article ; recerca ; article ; publishedVersion |
| Publicat a: | Publicacions matematiques, V. 46 N. 1 (2002) , p. 153-177, ISSN 0214-1493 |
