Norm Equivalence and Composition Operators on Bloch/Lipschitz spaces of the Unit Ball

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dc.creatorClahane, Dana D.
dc.creatorStevic, Stevo
dc.date2005-06-21
dc.date2005-10-12
dc.date.accessioned2026-07-07T06:42:30Z
dc.date.available2026-07-07T06:42:30Z
dc.descriptionWhen 0<p<1, it is known that the p-Bloch and (1-p)-Lipschitz spaces of the unit ball in n-dimensional complex Eucllidean space are equal as sets. We prove that these spaces are additionally norm-equivalent, thus extending known results for n=1 and the polydisk. As an application, we generalize work by Madigan on the disk by investigating boundedness of composition operators between p- and q-Lipschitz spaces of the ball.
dc.description11 pages (minor expositional changes and typographical errors made based on a referee's comments)
dc.identifierhttps://arxiv.org/abs/math/0506424
dc.identifierhttp://arxiv.org/abs/math/0506424
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102061
dc.subjectComplex Variables
dc.subjectFunctional Analysis
dc.subject47B33 (Primary); 47A13, 32A16, 26A16 (Secondary)
dc.titleNorm Equivalence and Composition Operators on Bloch/Lipschitz spaces of the Unit Ball
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