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- Title
The Norm of a Composition Operator from the Space of Cauchy Transforms into Zygmund-Type Spaces.
- Authors
Sharma, A. K.
- Abstract
The problem of evaluation of the norm of a composition operator acting between the spaces of holomorphic functions is quite difficult. In the Hardy and weighted Bergman spaces, the norm of the composition operator is unknown even for the choice of a fairly simple symbol. We compute the operator norm of the composition operator acting between the space of Cauchy transforms and Zygmund-type spaces. We also characterize bounded and compact composition operators acting between these spaces.
- Subjects
COMPOSITION operators; COMPACT operators; BERGMAN spaces; FUNCTION spaces; HOLOMORPHIC functions; SPACE
- Publication
Ukrainian Mathematical Journal, 2020, Vol 71, Issue 12, p1945
- ISSN
0041-5995
- Publication type
Article
- DOI
10.1007/s11253-020-01757-2