TY  - BOOK
AU  - SUSUMU OKADA et al
TI  - OPTIMAL DOMAIN AND INTEGRAL EXTENSION OF OPERATORS : ACTING IN FUNCTION SPACES
SN  - 9783764386474
U1  - 515.724 
PY  - 2008///
CY  - SWITZERLAND
PB  - BIRKHAUSER
KW  - SET FUNCTIONS
KW  - FUNCTIONAL ANALYSIS
KW  - INTEGRAL OPERATORS
KW  - LINEAR OPERATORS
N2  -  	
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.
ER  -