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Author Efraimidis, I.; Gaona, J.; Hernandez, R.; Venegas, O.
Title On harmonic Bloch-type mappings Type
Year 2017 Publication (down) Complex Variables And Elliptic Equations Abbreviated Journal Complex Var. Elliptic Equ.
Volume 62 Issue 8 Pages 1081-1092
Keywords Bloch functions; harmonic functions; Jacobian; univalent functions; schlicht radius; growth estimates; coefficient estimates; 30C25; 30C50; 30D45; 30H30
Abstract Let 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.
Address [Efraimidis, I.] Univ Autonoma Madrid, Dept Matemat, Madrid, Spain, Email: iason.efraimidis@uam.es
Corporate Author Thesis
Publisher Taylor & Francis Ltd Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 1747-6933 ISBN Medium
Area Expedition Conference
Notes WOS:000399938900004 Approved
Call Number UAI @ eduardo.moreno @ Serial 729
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