The group of isometries on Hardy spaces of the n-ball and the polydisc
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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.
1980 ◽
Vol 21
(2)
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pp. 199-204
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2004 ◽
Vol 2004
(52)
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pp. 2761-2772
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2015 ◽
Vol 597
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pp. 012009
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1991 ◽
Vol 110
(3)
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pp. 533-544
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1999 ◽
Vol 129
(2)
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pp. 343-349
1995 ◽
Vol 47
(4)
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pp. 673-683
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1979 ◽
Vol 31
(1)
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pp. 9-16
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1994 ◽
Vol 49
(2)
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pp. 249-256
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1978 ◽
Vol 26
(1)
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pp. 65-69
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