Norm Inequalities for Composition Operators on Hardy and Weighted Bergman Spaces
| Author | : Christopher Hammond |
| Publisher | : |
| Total Pages | : 272 |
| Release | : 2010 |
| ISBN-10 | : OCLC:732850644 |
| ISBN-13 | : |
| Rating | : 4/5 ( Downloads) |
Book Synopsis Norm Inequalities for Composition Operators on Hardy and Weighted Bergman Spaces by : Christopher Hammond
Download or read book Norm Inequalities for Composition Operators on Hardy and Weighted Bergman Spaces written by Christopher Hammond and published by . This book was released on 2010 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: Any analytic self-map of the open unit disk induces a bounded composition operator on the Hardy space H 2 and on the standard weighted Bergman spaces A 2 [beta symbol]. For a particular self-map, it is reasonable to wonder whether there is any meaningful relationship between the norms of the corresponding operators acting on each of these spaces. In this paper, we demonstrate an inequality which, at least to a certain degree, provides an answer to this question.
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