Composition operators on generalized Bloch spaces of the polydisk

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dc.creatorClahane, Dana D.
dc.creatorStevic, Stevo
dc.creatorZhou, Zehua
dc.date2005-07-16
dc.date.accessioned2026-07-07T05:21:46Z
dc.date.available2026-07-07T05:21:46Z
dc.descriptionLet p,q>0. We extend to the n-polydisk previous one-variable characterization results of K. Madigan on the $p$-Lipschitz space and K. Madigan/A. Matheson on the Bloch space by obtaining function-theoretic conditions on a holomorphic self-map of the polydisk such that the induced composition operator is bounded or compact between p- and q-Bloch spaces of the polydisk. These conditions turn out to be different in the cases when p is in (0,1) and when p is at least 1. We also obtain corresponding characterization results for composition operators between generalized little p- and q-Bloch spaces of the polydisk.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0507339
dc.identifierhttp://arxiv.org/abs/math/0507339
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75808
dc.subjectFunctional Analysis
dc.subjectComplex Variables
dc.subject47B33; 32A30
dc.titleComposition operators on generalized Bloch spaces of the polydisk
dc.typetext

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