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https://hdl.handle.net/2142/71248
Description
Title
Some Sharp Inequalities for Martingale Transforms
Author(s)
Choi, Kwok Pui
Issue Date
1987
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Abstract
This thesis consists of three chapters. In Chapter 1, two sharp inequalities are proved and their extensions to differentially subordinate martingales.
In Chapter 2, the optimal value of a martingale transform inequality is given implicitly.
In Chapter 3, properties of biconcave functions and the interplay with zigzag martingales are discussed.
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