Optimal Domain and Integral Extension of Operators [electronic resource]: Acting in Function Spaces/ by Susumu Okada, Werner J. Ricker, Enrique A. Sánchez Pérez.

By:

Okada, Susumu

Contributor(s):

Series: Operator Theory: Advances and Applications ; 180Publication details: Basel: Birkhäuser Basel, 2008.Description: digitalISBN:

9783764386481

Subject(s):

Additional physical formats: Printed edition:: No titleDDC classification:

515.724

Online resources:

Click here to access online

Contents:

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 .

In: Springer eBooksSummary: 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 .

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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 .

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