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Title:Some Sharp Inequalities for Martingale Transforms
Author(s):Choi, Kwok Pui
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(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.
Issue Date:1987
Type:Text
Description:127 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1987.
URI:http://hdl.handle.net/2142/71248
Other Identifier(s):(UMI)AAI8711781
Date Available in IDEALS:2014-12-16
Date Deposited:1987


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