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The essential norms of composition operators

Published online by Cambridge University Press:  18 May 2009

Boo Rim Choe
Boo Rim Choe
Affiliation:
Department of Mathematics, Korea Advanced Institute of Science and Technology, Kusong-Dong 373-1, Yusong-Gu, Taejon 305-701, Korea
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Throughout the paper n denotes a fixed positive integer unless otherwise specified. Let B = Bn denote the open unit ball of ℂn and let S = Sn denote its boundary, the unit sphere. The unique rotation-invariant probability measure on 5 will be denoted by σ = σn. For n = l, we use more customary notations D = B1, T = S1 and dσ1= dθ/2π. The Hardy space on B, denoted by H2(B), is then the space of functions f holomorphic on B for which

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 34 , Issue 2 , May 1992 , pp. 143 - 155
Copyright
Copyright © Glasgow Mathematical Journal Trust 1992

References

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