Seminar Event Detail


Special Events

Date:  Tuesday, March 15, 2022
Location:  (Hybrid) 2058 East Hall (4:00 PM to 6:00 PM)

Title:  Dissertation Defense: Duality and Hardy Spaces on Levi-Flat Domains with Corners

Abstract:  
Zoom:
https://umich.zoom.us/j/97522535797?pwd=aE5qdTIzTVlQMkcxRjZOeENYU2NhZz09

In Person:
2058 East Hall

In this thesis we develop a Hardy space theory for piece-wise smooth Levi-flat domains. We use the Cauchy-Fantappie pairing to produce projectively invariant reproducing kernels for such domains, along with families of measures to define Hardy spaces on the original domain and its dual. We study the qualitative properties of the pairing, and show that many of the properties from the smooth, strongly C-convex case hold. However, the maps between Hardy spaces are in general not isomorphisms, but are injective with dense image.

Ben's advisor is David Barrett.

Files:


Speaker:  Ben Krakoff
Institution:  UM

Event Organizer:     

 

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