- Series
- Analysis Seminar
- Time
- Wednesday, August 29, 2012 - 2:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Greg Knese – University of Alabama
- Organizer
- Jeff Geronimo
Using integral formulas based on Green's theorem and in
particular a lemma of Uchiyama, we give simple proofs of comparisons
of different BMO norms without using the John-Nirenberg inequality
while we also give a simple proof of the strong John-Nirenberg
inequality. Along the way we prove the inclusions of BMOA in the dual
of H^1 and BMO in the dual of real H^1. Some difficulties of the
method and possible future directions to take it will be suggested at
the end.