@article{6b8af5864cf541ba9008472a487afe03,
title = "Coefficient estimates, Landau's theorem and lipschitz-type spaces on planar harmonic mappings",
abstract = "In this paper, we investigate the properties of locally univalent and multivalent planar harmonic mappings. First, we discuss coefficient estimates and Landau's theorem for some classes of locally univalent harmonic mappings, and then we study some Lipschitz-type spaces for locally univalent and multivalent harmonic mappings.",
keywords = "Green's theorem, Lipschitz space, harmonic Bloch space, harmonic mappings, harmonic univalent mappings",
author = "Shaolin Chen and Saminathan Ponnusamy and Antti Rasila",
note = "Funding Information: CHEN SHAOLIN PONNUSAMY SAMINATHAN ✉ RASILA ANTTI Communicated by J. Borwein Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang, Hunan 421008, PR China email mathechen@126.com Indian Statistical Institute (ISI), Chennai Centre, SETS (Society for Electronic Transactions and Security), MGR Knowledge City, CIT Campus, Taramani, Chennai 600 113, India email samy@isichennai.res.in samy@iitm.ac.in Department of Mathematics and Systems Analysis, Aalto University, PO Box 11100, FI-00076 Aalto, Finland email antti.rasila@iki.fi ✉ This research was partly supported by the Construct Program of the Key Discipline in Hunan Province and the Start Project of Hengyang Normal University (No. 12B34). 04 2014 08 11 2013 96 2 198 215 04 02 2013 11 09 2013 Copyright {\textcopyright}2013 Australian Mathematical Publishing Association Inc. 2013 Australian Mathematical Publishing Association Inc. ",
year = "2014",
month = apr,
doi = "10.1017/S1446788713000608",
language = "英语",
volume = "96",
pages = "198--215",
journal = "Journal of the Australian Mathematical Society",
issn = "1446-7887",
publisher = "Cambridge University Press",
number = "2",
}