Linear Extremal Problems in the Hardy Space H^p for 0 < p < 1

Author

Robert Christopher Connelly, University of South FloridaFollow

Graduation Year

2017

Document Type

Thesis

Degree

M.A.

Degree Name

Master of Arts (M.A.)

Degree Granting Department

Mathematics and Statistics

Major Professor

Catherine A. Bénéteau, Ph.D.

Committee Member

Arthur Danielyan, Ph.D.

Committee Member

Evguenii A. Rakhmanov, Ph.D.

Keywords

Hardy Spaces, Extremal Problems, Analytic Functions, Numerical Analysis

Abstract

In this thesis, we consider linear extremal problems in the H^p 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.

Scholar Commons Citation

Connelly, Robert Christopher, "Linear Extremal Problems in the Hardy Space H^p for 0 < p < 1" (2017). USF Tampa Graduate Theses and Dissertations.
https://digitalcommons.usf.edu/etd/6646