Multilinear Dyadic Operators and Their Commutators
- Series
- Dissertation Defense
- Time
- Tuesday, July 18, 2017 - 16:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Ishwari Kunwar – Georgia Tech
In
this thesis, we introduce multilinear dyadic paraproducts and Haar
multipliers, and discuss boundedness properties of these operators and
their commutators with locally integrable
functions in various settings. We also present pointwise domination of
these operators by multilinear sparse operators, which we use to prove
multilinear Bloom’s inequality for the commutators of multilinear Haar
multipliers. Along the way, we provide several
characterizations of dyadic BMO functions.