Basic Theory and Development of L_p Spaces

Author

Barry Pitsch, Marquette University

Date of Award

4-1969

Degree Type

Master's Essay - Restricted

Degree Name

Master of Science (MS)

Department

Mathematics, Statistics and Computer Science

First Advisor

Raymond W. Honerlah

Abstract

The object of this paper is to present the basic theory of L_p spaces. Since we have limited time and capacity, there will be a number of things that the reader will be assumed to have a knowledge of. The paper will start with measurable spaces, moving toward a definition of a measure space. Once here we introduce a few theorems, basic to the development and definition of the Lebesgue integral. Having set down the preliminaries we immediately proceed to define L_p spaces.

Comments

Presented to the Department of Mathematics of Marquette University in partial fulfillment of the requirements for the degree of Master of Science

Recommended Citation

Pitsch, Barry, "Basic Theory and Development of L_p Spaces" (1969). Master's Essays (1922 - ). 1799.
https://epublications.marquette.edu/essays/1799