The Bochner Integral and an Application to Singular Integrals
Date
2014-04-01
Authors
Potter, Harry Thompson (Tom)
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Abstract
In this expository thesis we describe the Bochner integral for functions taking values in a separable Banach space, and we describe how a number of standard definitions and results in real analysis can be extended for these functions, with an emphasis on Hilbert-space-valued functions. We then present a partial vector-valued version of a classical theorem on singular integrals.
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Keywords
Bocher Integral, Singular Integrals, Measure and Integration theory, Vector-valued analysis