Optimal domain and integral extension of operators: Acting in function spaces
S. Okada, Werner J. Ricker, Enrique A. Sánchez Pérez
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.
الفئات:
عام:
2008
الإصدار:
1
الناشر:
Birkhäuser Basel
اللغة:
english
الصفحات:
406
ISBN 10:
3764386487
ISBN 13:
9783764386481
سلسلة الكتب:
Operator Theory: Advances and Applications
ملف:
PDF, 2.32 MB
IPFS:
,
english, 2008
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