Most of the work to be described in this talk is joint with Yoram

Sagher and Pavel Shvartsman and appeared in our joint paper of 2012.

I will pose and invite you to solve a seemingly rather simple

geometric/combinatorial question.

In fact I will formulate a slightly simpler equivalent and so far

unpublished variant of the question

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.

Various relevant links and additional material about this research

are available at

http://www.math.technion.ac.il/%7Emcwikel/bmo

# A simple(?) geometric or combinatorial question with deep consequences for BMO functions

Date:

Tuesday, April 12, 2016 - 2:00pm

Location:

Math Sci 111

Speaker:

Michael Cwikel

(Technion - Israel Institute of Technology)

Event Type: