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Optimal Domain and Integral Extension of Operators

Susumu Okada

Published by Springer Basel AG Mai 2008, 2008
ISBN 10: 3764386479 / ISBN 13: 9783764386474
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Title: Optimal Domain and Integral Extension of ...

Publisher: Springer Basel AG Mai 2008

Publication Date: 2008

Binding: Buch

Book Condition: Neu

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Neuware - This book deals with the analysis of linear operators from a quasi-Banach function space into a Banach space. The central theme is to extend the operator to as large a (function) space as possible, its optimal domain, and to take advantage of this in analyzing the original operator. Most of the material appears in print for the first time. The book has an interdisciplinary character and is aimed at graduates, postgraduates, and researchers in modern operator theory. 400 pp. Englisch. Bookseller Inventory # 9783764386474

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Synopsis: This book deals with the analysis of linear operators from a quasi-Banach function space into a Banach space. The central theme is to extend the operator to as large a (function) space as possible, its optimal domain, and to take advantage of this in analyzing the original operator. Applications are given to Maurey-Rosenthal factorization of operators and to classical operators arising in commutative harmonic analysis. The main tool is the vector measure associated to such an operator, which produces a corresponding space of integrable functions and an integration operator. TOC:1. Introduction.- 2. Quasi-Banach Function Spaces.- 3. Vector Measures and Integration Operators.- 4. Optimal Domains and Integral Extensions.- 5. Operators which are p-th Power Factorable.- 6. Factorization of p-th Power Factorable Operators through Lp-Spaces.- 7. Operators from Classical Harmonic Analysis.

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