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

Name: Optimal domain and integral extension of operators: Acting in function spaces
ISBN: 9783764386481

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.

Категории:

Science (General)

Година:

2008

Издание:

Издателство:

Birkhäuser Basel

Език:

english

Страници:

406

ISBN 10: