Maximal functions and Hilbert transforms along variable flat curves

Authors
Carbery, A Perez, S
Citation
A. Carbery et S. Perez, Maximal functions and Hilbert transforms along variable flat curves, MATH RES LE, 6(2), 1999, pp. 237-249
Citations number
15
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL RESEARCH LETTERS
ISSN journal
10732780 → ACNP
Volume
6
Issue
2
Year of publication
1999
Pages
237 - 249
Database
ISI
SICI code
1073-2780(199903)6:2<237:MFAHTA>2.0.ZU;2-4
Abstract
In this work we establish L-p boundedness for maximal functions and Hilbert transforms along variable curves in the plane, via L-2 estimates for certa in singular integral operators with oscillatory terms.