Toeplitz Operators on the Bergman Spaces and in Several Complex Variables

1980 ◽  
Vol s3-41 (2) ◽  
pp. 193-216 ◽  
Author(s):  
Nicholas P. Jewell
Keyword(s):  
Toeplitz Operators ◽  
Bergman Spaces ◽  
Complex Variables ◽  
Several Complex Variables

scholarly journals Composition operators and several complex variables

1981 ◽  
Vol 23 (2) ◽  
pp. 237-247 ◽  
Author(s):  
R.K. Singh ◽  
S.D. Sharma
Keyword(s):  
Hardy Space ◽  
Toeplitz Operators ◽  
Composition Operators ◽  
Complex Variables ◽  
Several Complex Variables ◽  
Open Unit ◽  
Complex Functions

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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