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Published in:
Preliminaries Read chapter Read first chapter

2018 | OriginalPaper | Chapter

4.  C ∞ -Vectors

Authors : Piotr Budzyński, Zenon Jabłoński, Il Bong Jung, Jan Stochel

Published in: Unbounded Weighted Composition Operators in L²-Spaces

Publisher: Springer International Publishing

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Abstract

In this chapter, we turn our interest to weighted composition operators that have sufficiently many

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previous chapter Subnormality: General Criteria
next chapter Seminormality
Footnotes
1
Note that the condition “\(\mathsf {h}_{\phi ^{n},\hat w_{n}} < \infty \) a.e. [μ] for all \(n\in \mathbb N\)” is necessary and sufficient for the existence of a linear mapping https://static-content.springer.com/image/chp%3A10.1007%2F978-3-319-74039-3_4/461863_1_En_4_IEq126_HTML.gif satisfying (4.2). Of course, if \(\tilde L\) is another such mapping, then \(L(p) = \tilde L(p)\) a.e. [μ] for every \(p \in \mathbb C[t]\).
 
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Metadata
Title
C ∞ -Vectors
Authors
Piotr Budzyński
Zenon Jabłoński
Il Bong Jung
Jan Stochel
Copyright Year
2018
Book
Unbounded Weighted Composition Operators in L²-Spaces

Print ISBN: 978-3-319-74038-6

Electronic ISBN: 978-3-319-74039-3

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-74039-3_4

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