The Bochner Integral and an Application to Singular Integrals

The Bochner Integral and an Application to Singular Integrals

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 prese...

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Main Author: Potter, Harry Thompson (Tom)
Language:en
Published: 2014
Subjects:
Bocher Integral
Singular Integrals
Measure and Integration theory
Vector-valued analysis
Online Access:http://hdl.handle.net/10222/48588
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spelling ndltd-LACETR-oai-collectionscanada.gc.ca-NSHD.ca#10222-485882014-04-03T03:44:49ZThe Bochner Integral and an Application to Singular IntegralsPotter, Harry Thompson (Tom)Bocher IntegralSingular IntegralsMeasure and Integration theoryVector-valued analysisIn 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.2014-04-01T16:34:15Z2014-04-01T16:34:15Z2014-04-012014-02-25Thesishttp://hdl.handle.net/10222/48588en
collection NDLTD
language en
sources NDLTD
topic Bocher Integral
Singular Integrals
Measure and Integration theory
Vector-valued analysis
spellingShingle Bocher Integral
Singular Integrals
Measure and Integration theory
Vector-valued analysis
Potter, Harry Thompson (Tom)
The Bochner Integral and an Application to Singular Integrals
description 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.
author Potter, Harry Thompson (Tom)
author_facet Potter, Harry Thompson (Tom)
author_sort Potter, Harry Thompson (Tom)
title The Bochner Integral and an Application to Singular Integrals
title_short The Bochner Integral and an Application to Singular Integrals
title_full The Bochner Integral and an Application to Singular Integrals
title_fullStr The Bochner Integral and an Application to Singular Integrals
title_full_unstemmed The Bochner Integral and an Application to Singular Integrals
title_sort bochner integral and an application to singular integrals
publishDate 2014
url http://hdl.handle.net/10222/48588
work_keys_str_mv AT potterharrythompsontom thebochnerintegralandanapplicationtosingularintegrals
AT potterharrythompsontom bochnerintegralandanapplicationtosingularintegrals
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