Open AccessOn the maximal Bochner-Riesz conjecture in the plane for đť‘ť<2
Author(s) -
Terence Tao
Publication year - 2002
Publication title -
transactions of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.798
H-Index - 100
eISSN - 1088-6850
pISSN - 0002-9947
DOI - 10.1090/s0002-9947-02-02942-2
Subject(s) - annotation , conjecture , convergence (economics) , mathematics , algorithm , semantics (computer science) , type (biology) , operator (biology) , artificial intelligence , computer science , combinatorics , chemistry , programming language , geology , biochemistry , repressor , transcription factor , economics , gene , economic growth , paleontology
We give a new estimate on the maximal Bochner-Riesz operator in the plane, for p > 2 p>2 ; as a corollary we obtain an almost everywhere convergence result for certain Bochner-Riesz means. This work was inspired by discussions with Michael Christ and Chris Sogge.