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Composition operators and several complex variables

Published online by Cambridge University Press:  17 April 2009

R.K. Singh  and
S.D. Sharma
R.K. Singh
Affiliation:
Department of Mathematics, University of Jammu, Jammu 180001, India.
S.D. Sharma
Affiliation:
Department of Mathematics, University of Jammu, Jammu 180001, India.
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Abstract

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Let Un be the open unit polydisc, and let T be a mapping from Un into itself. Then the composition transformation CT is a mapping on the Hardy space H2(Un) into the space of complex functions on Un defined as CTf = f ∘ T for every f ∈ H2(Un). An attempt is made to study some properties of CT in this note. A partial generalization of a result of Schwartz, and a relation between intertwining analytic Toeplitz operators and composition operators are reported.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 23 , Issue 2 , April 1981 , pp. 237 - 247
Copyright
Copyright © Australian Mathematical Society 1981

References

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