The  Weizmann  Institute  of  Science
                  Faculty of Mathematics and Computer Science
 
                 Mathematical Analysis and Applications Seminar
 
                     Lecture Hall, Room 1, Ziskind Building
                           on Tuesday, June 12, 2012
                                  11:00 - noon
 
                            Professor Michael Cwikel
                                    Technion
 
                                 will speak on
 
                  A simple(?) geometric/combinatoric question
                    with deep consequences for BMO functions
 
Abstract:
I will pose and invite you to solve a seemingly rather simple
geometric/combinatoric question.
 
So I hope that my audience will also include experts in combinatorics or
high-dimensional discrete geometry, though no expertise in such domains will be
assumed (or needed??).
 
My coauthors and I have discovered that an affirmative answer to this question
would have some very interesting consequences in analysis. They relate to the
very important function space BMO (of functions of Bounded Mean Oscillation). I
will briefly describe BMO, and mention some of its remarkable properties and
connections with harmonic analysis and complex analysis. Special cases of one
of our results give alternative proofs of the celebrated John-Nirenberg
inequality for BMO functions.
 
An affirmative answer to the above-mentioned question would lead to a version
of the John-Nirenberg inequality with dimension free constants. A more
extensive version of this abstract and a first version of our detailed paper
etc. are available at  <http://www.math.technion.ac.il/%7Emcwikel/bmo>
 
This is joint work with Yoram Sagher and Pavel Shvartsman.
 
---------------------------------------------------------
Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from: Yaeli Malka   <yaeli.malka@weizmann.ac.il>