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Catalogue Information
Field name	Details
Dewey Class	515.724
Title	Optimal Domain and Integral Extension of Operators (EB) : Acting in Function Spaces / by Susumu Okada, Werner J. Ricker, Enrique A. Sánchez Pérez.
Author	Okada, Susumu
Added Personal Name	Ricker, Werner J.
Added Personal Name	Sánchez Pérez., Enrique A.
Other name(s)	SpringerLink (Online service)
Publication	Basel : Birkhäuser , 2008.
Physical Details	: online resource.
Series	Operator theory : advances and applications ; 180
ISBN	9783764386481
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-7643-8648-1
Links to Related Works	Subject References: Mathematics . Operator Theory . Authors: author . Okada, Susumu . Ricker, Werner J. . Sánchez Pérez., Enrique A. . Corporate Authors: SpringerLink (Online service) . Series: Operator theory : advances and applications . Classification: 515.724 .

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Optimal Domain and Integral Extension of Operators: Acting in Function Spaces

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