The group of isometries on Hardy spaces of the n-ball and the polydisc
Glasgow mathematical journal, Tome 21 (1980) no. 2, pp. 199-204

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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 l ≤ 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.
Berkson, Earl; Porta, Horacio. The group of isometries on Hardy spaces of the n-ball and the polydisc. Glasgow mathematical journal, Tome 21 (1980) no. 2, pp. 199-204. doi: 10.1017/S0017089500004365
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