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.

Скачать книгу бесплатно (pdf, 3.10 Mb)

---

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