On harmonic Bloch-type mappings

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dc.contributor.authorEfraimidis, I.
dc.contributor.authorGaona, J.
dc.contributor.authorHernandez, R.
dc.contributor.authorVenegas Torres, Óscar
dc.date2017
dc.date.accessioned2021-04-30T16:59:12Z
dc.date.available2021-04-30T16:59:12Z
dc.description.abstractLet f be a complex-valued harmonicmapping defined in the unit disk D. We introduce the following notion: we say that f is a Bloch-type function if its Jacobian satisfies This gives rise to a new class of functions which generalizes and contains the well-known analytic Bloch space. We give estimates for the schlicht radius, the growth and the coefficients of functions in this class. We establish an analogue of the theorem which, roughly speaking, states that for. analytic log. is Bloch if and only if. is univalent.
dc.identifier.citationCOMPLEX VARIABLES AND ELLIPTIC EQUATIONS,Vol.62,1081-1092,2017
dc.identifier.doi10.1080/17476933.2016.1265951
dc.identifier.urihttp://repositoriodigital.uct.cl/handle/10925/3730
dc.language.isoen
dc.publisherTAYLOR & FRANCIS LTD
dc.sourceCOMPLEX VARIABLES AND ELLIPTIC EQUATIONS
dc.subject.englishBloch functions
dc.subject.englishharmonic functions
dc.subject.englishJacobian
dc.subject.englishunivalent functions
dc.subject.englishschlicht radius
dc.subject.englishgrowth estimates
dc.subject.englishcoefficient estimates
dc.subject.english30C25
dc.subject.english30C50
dc.subject.english30D45
dc.subject.english30H30
dc.titleOn harmonic Bloch-type mappings
dc.typeArticle
uct.catalogadorWOS
uct.indizacionSCI
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