The weak-type endpoint Bochner-Riesz conjecture and related topics

Authors
Tao, T
Citation
T. Tao, The weak-type endpoint Bochner-Riesz conjecture and related topics, INDI MATH J, 47(3), 1998, pp. 1097-1124
Citations number
43
Categorie Soggetti
Mathematics
Journal title
INDIANA UNIVERSITY MATHEMATICS JOURNAL
ISSN journal
00222518 → ACNP
Volume
47
Issue
3
Year of publication
1998
Pages
1097 - 1124
Database
ISI
SICI code
0022-2518(199823)47:3<1097:TWEBCA>2.0.ZU;2-5
Abstract
We continue the study of the Bochner-Riesz family of conjectures. In partic ular, the weak-type endpoint Bochner-Riesz conjecture is shown to be equiva lent to the standard Bochner-Riesz conjecture, and the maximal Bochner-Ries z conjecture is shown to fail for certain p < 2. A new Radon transform conj ecture is also formulated.