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Two problems associated with convex finite type domains
Iosevich, Alexander
Sawyer, Eric
Seeger, Andreas

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

DOI: 10.5565/PUBLMAT_46102_09

25 p, 244.9 KB

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