Weighted norm inequalities for general operators
Abstract
This dissertation studies weighted strong and weak type norm inequalities of general integral operators on monotone functions. Characterizations of weights are given for which the norm inequalities hold. Chapter 1 deals with strong type inequalities. Various sharp constants for the norm inequalities are presented. Chapter 2 treats weak type inequalities. Conditions on the kernel are given for which weak and strong type inequalities are equivalent. The final chapter 3 contains multiplier properties for weights, relations between certain classes of weights and limiting class of weights.
Degree
Ph.D.
Advisors
Neugebauer, Purdue University.
Subject Area
Mathematics
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