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Composition with a Nonhomogeneous Bounded Holomorphic Function on the Ball

Published online by Cambridge University Press:  20 November 2018

Jun Soo Choa  and
Hong Oh Kim
Jun Soo Choa
Affiliation:
Korea Advanced Institute of Science and Technology, Seoul, Korea
Hong Oh Kim
Affiliation:
Korea Advanced Institute of Science and Technology, Seoul, Korea
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For an integer n > 1, the letters U and Bn denote the open unit disc in C and the open euclidean unit ball in Cn, respectively. It is known that the homogeneous polynomials

where bα is chosen so that , have the following pull-back property:

If g ∈ ℬ(U) the Block space, then , the space of hoiomorphic functions on Bn of bounded mean oscillation, forand.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 41 , Issue 5 , 01 October 1989 , pp. 870 - 881
Copyright
Copyright © Canadian Mathematical Society 1989

References

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