A Theorem on Isometries and the Application of it to the Isometries of Hp(S) for 2 < p < ∞
Canadian journal of mathematics, Tome 25 (1973) no. 2, pp. 284-289

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Let X and Y be sets, let λ be a bounded positive measure on X, and let μ be a bounded positive measure on Y. Furthermore let M be a subalgebra of L∞(λ), let p ∈ (0, ∞), and let A be a linear transformation of M into Lp(μ) such that for all f in M.In § 2 of this paper we will prove the following theorem.
Forelli, Frank. A Theorem on Isometries and the Application of it to the Isometries of Hp(S) for 2 < p < ∞. Canadian journal of mathematics, Tome 25 (1973) no. 2, pp. 284-289. doi: 10.4153/CJM-1973-028-7
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[1] 1. Forelli, F., The isometries of Hp, Can. J. Math. 16 (1964), 721–728. Google Scholar

[2] 2. Schneider, R. B., Isometries of Hp(Un), Can. J. Math. 25 (1973), 92–95. Google Scholar

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