Let Hp(m),<0 p ≦ ∞, be the Hardy spaces on a quotient K of the Bohr group. In this paper we completely determine the isometries of Hp(m), p ≠ 2, onto itself. Our result is a generalization of a recent work of Muhly who determined the isometries of Hp(m) onto itself under the assumption that the dual group of K is countable, and it may be regarded as a partial answer to a question posed by Muhly.
|Number of pages||14|
|Journal||Pacific Journal of Mathematics|
|Publication status||Published - 1981|
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