Weighted inequalities for Bochner-Riesz means in the plane

Authors
Carbery, A Seeger, A
Citation
A. Carbery et A. Seeger, Weighted inequalities for Bochner-Riesz means in the plane, Q J MATH, 51, 2000, pp. 155-167
Citations number
17
Categorie Soggetti
Mathematics
Journal title
QUARTERLY JOURNAL OF MATHEMATICS
ISSN journal
00335606 → ACNP
Volume
51
Year of publication
2000
Part
2
Pages
155 - 167
Database
ISI
SICI code
0033-5606(200006)51:<155:WIFBMI>2.0.ZU;2-K
Abstract
We give weighted inequalities for Bochner-Riesz means and the corresponding maximal operator in the plane. These capture the known L-q results for the se operators simultaneously for all values of q > 2. The sharp L-4 estimate for the natural square function associated to the problem is also obtained .