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|Title:||Some Sharp Inequalities for Martingale Transforms|
|Author(s):||Choi, Kwok Pui|
|Department / Program:||Mathematics|
|Degree Granting Institution:||University of Illinois at Urbana-Champaign|
|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.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1987.
|Date Available in IDEALS:||2014-12-16|