| Linear isometries of Hardy spaces |
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| 作者单位： | Politecnico di |
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| 摘 要： | According to results established by DeLeeuw-Rudin-Wermer and by Forelli,all linear isometries of any Hardy space H~p(p≥1,p≠2)on the open unit discΔof C are represented by weighted composition operators defined by inner functions onΔ.After reviewing(and completing when p=∞)some of those results,the present report deals with a characterization of periodic and almost periodic semigroups of linear isometries of H~p.
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| 收稿时间： | 6 July 2006 |
| 修稿时间： | 25 December 2006 |
Linear isometries of Hardy spaces |
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| Authors: | Edoardo Vesentini |
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| Institution: | Edoardo VESENTINI Politecnico di Torino;Dipartimento di Matematica;Corso Duca degli Abruzzi 24;10129 Torino;Italy |
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| Abstract: | According to results established by DeLeeuw-Rudin-Wermer and by Forelli, all linear isometries of any Hardy space H
p
(p ⩾ 1, p ≠ = 2) on the open unit disc Δ of ℂ are represented by weighted composition operators defined by inner functions on Δ. After
reviewing (and completing when p = ∞) some of those results, the present report deals with a characterization of periodic and almost periodic semigroups of
linear isometries of H
p
.
Dedicated to Professor LU QiKeng on the occasion of his 80th birthday |
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| Keywords: | inner function moebius transformations continuous flows |
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