School of Mathematical Sciences
Monday, March 14, 2011
Schreiber 006, 12:15
Technion, Israel Institute of Technology
A simple(?) geometric question with deep consequences for BMO
I will pose and invite you to solve a seemingly rather simple
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 not assume familiarity with BMO, and will
briefly survey some of its remarkable properties.
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
This is joint work with Yoram Sagher and Pavel Shvartsman.
Coffee will be served at 12:00 before the lecture
at Schreiber building 006