On boundedness of composition operators on $H^{2}(B_{2})$
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- by Joseph A. Cima, Charles S. Stanton and Warren R. Wogen PDF
- Proc. Amer. Math. Soc. 91 (1984), 217-222 Request permission
Abstract:
Composition operators on the Hardy space ${H^2}$ of the ball in ${C^2}$ are studied. Some sufficient conditions are given for a composition operator to be bounded. A class of inner mappings is given which induces isometric composition operators. Another class of inner mappings is shown to induce unbounded composition operators.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 91 (1984), 217-222
- MSC: Primary 47B37; Secondary 32A35
- DOI: https://doi.org/10.1090/S0002-9939-1984-0740174-7
- MathSciNet review: 740174