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Composition operators and several complex variables
Published online by Cambridge University Press: 17 April 2009
Abstract
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.
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- Copyright © Australian Mathematical Society 1981
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