Optimal Domain and Integral Extension of Operators: Acting...

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Optimal Domain and Integral Extension...

Optimal Domain and Integral Extension of Operators: Acting in Function Spaces (Operator Theory: Advances and Applications)

Name: Optimal Domain and Integral Extension of Operators: Acting in Function Spaces (Operator Theory: Advances and Applications)
ISBN: 9783764386474

S. Okada, Werner J. Ricker, Enrique A. Sánchez Pérez

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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.

Categorías:

Science (General)

Año:

2008

Edición:

Editorial:

Birkhäuser Basel

Idioma:

english

Páginas:

406

ISBN 10: