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Physical Sciences and Mathematics Commons

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Mathematics

University of South Florida

USF Tampa Graduate Theses and Dissertations

2017

Analytic Functions

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Linear Extremal Problems In The Hardy Space HP For 0 < P < 1, Robert Christopher Connelly Mar 2017

Linear Extremal Problems In The Hardy Space HP For 0 < P < 1, Robert Christopher Connelly

USF Tampa Graduate Theses and Dissertations

In this thesis, we consider linear extremal problems in the Hp spaces. For many of these extremal problems, a unique solution can be guaranteed. We will examine some of the classical examples of extremal problems in these spaces. With this framework in place we will then consider a particular problem which does not always have a unique solution.