Description
SPRINGER Optimal Domain And Integral Extension Of Operators Acting In Function Spaces 2008 Edition by WERNER RICKER, SUSUMU OKADA
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. Most of the material appears in print for the first time. The book has an interdisciplinary character and is aimed at graduates, postgraduates, and researchers in modern operator theory. Quasi-Banach Function Spaces.- Vector Measures and Integration Operators.- Optimal Domains and Integral Extensions.- p-th Power Factorable Operators.- Factorization of p-th Power Factorable Operators through Lq-spaces.- Operators from Classical Harmonic Analysis.