Optimal Domain and Integral Extension of Operators: Acting in Function Spaces (Operator Theory: Advances and Applications)
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.
Kategori:
Tahun:
2008
Edisi:
1
Penerbit:
Birkhäuser Basel
Bahasa:
english
Halaman:
406
ISBN 10:
3764386479
ISBN 13:
9783764386474
Nama seri:
Operator Theory: Advances and Applications
File:
PDF, 3.10 MB
IPFS:
,
english, 2008
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