000			01162nam a22002177a 4500
008			180514b xxu||||| |||| 00| 0 eng d
020			_a9783764386474
041			_aENGLISH
082			_a515.724 _bO
100			_aSUSUMU OKADA et al _eAu
245			_aOPTIMAL DOMAIN AND INTEGRAL EXTENSION OF OPERATORS : ACTING IN FUNCTION SPACES
250			_a1
260			_aSWITZERLAND _bBIRKHAUSER _c2008
300			_a400
520			_a 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.
650			_aSET FUNCTIONS
650			_aFUNCTIONAL ANALYSIS
650			_aINTEGRAL OPERATORS
650			_aLINEAR OPERATORS
942			_cBK
999			_c68511 _d68511