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The group of isometries on Hardy spaces of the n-ball and the polydisc

Published online by Cambridge University Press:  18 May 2009

Earl Berkson  and
Horacio Porta
Earl Berkson
Affiliation:
Department of Mathematics, University of Illinois, Urbana, Illinois 61801
Horacio Porta
Affiliation:
Department of Mathematics, University of Illinois, Urbana, Illinois 61801
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Let C be the complex plane, and U the disc |z| < 1 in C. Cn denotes complex n-dimensional Euclidean space, <, > the inner product, and | · | the Euclidean norm in Cn. Bn will be the open unit ball {z ∈ Cn: |z| < 1}, and Un will be the unit polydisc in Cn. For 1 ≤p<∞, p≠2, Gp(Bn) (resp., Gp (Un)) will denote the group of all isometries of Hp (Bn) (resp., Hp (Un)) onto itself, where Hp (Bn) and Hp (Un) are the usual Hardy spaces.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 21 , Issue 1 , January 1980 , pp. 199 - 204
Copyright
Copyright © Glasgow Mathematical Journal Trust 1980

References

REFERENCES

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