Date of Award

5-2023

Document Type

Thesis open access

Department

Mathematics

First Advisor

Eddy Kwessi

Second Advisor

Ryan Daileda

Abstract

In this thesis we prove that the space BMO on shapes introduced by Dafni and Gibara is the dual space of the Hardy Space on Shapes which we introduce here for the first time. This document is relatively self contained, building up the necessary background in measure theory, functional, and harmonic analysis.

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