Composition operators induced by rational functions
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- by R. K. Singh PDF
- Proc. Amer. Math. Soc. 59 (1976), 329-333 Request permission
Abstract:
A necessary and sufficient condition for a rational function to define a composition operator on ${L^p}(\mu )$ is given in this paper, where $\mu$ is the Lebesgue measure on the Borel subsets of the real line. In particular, all polynomials inducing composition operators are completely determined.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 59 (1976), 329-333
- MSC: Primary 47B37
- DOI: https://doi.org/10.1090/S0002-9939-1976-0417847-4
- MathSciNet review: 0417847