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Speaker: Idris Assani, Dept of Mathematics, University of North Carolina at Chapel Hill, Title: The Bilinear Hardy-Littlewood function for the tail I
 

Summary: Speaker: Idris Assani, Dept of Mathematics, University of North Carolina at Chapel Hill,
Title: The Bilinear Hardy-Littlewood function for the tail I
Abstract:
This is a joint work with Z. Buczolich which was started a year ago. The bilinear
Hardy-Littlewood maximal function is defined for f, g measurable functions as
M
(f, g)(x) = sup
t
1
2t
t
-t
f(x + s)g(x + 2s)ds.
A simple application of H¨older's inequality shows that M
(f, g)(x) is almost everywhere
finite if f Lp
, g Lq
and 1
p + 1
q 1. A. Calder´on (1960) made a famous conjecture by

  

Source: Assani, Idris - Department of Mathematics, University of North Carolina at Chapel Hill

 

Collections: Mathematics