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Dergiler / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 1

Univalent harmonic mappings and Hardy spaces

Ali EBADIAN
Saman AZIZI
Sibel YALÇIN
Sayfa
284–292
Yayın Tarihi
2022-11-04
DOI
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Moreover, we generalizesome nice results in the analytic case to the harmonic case.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The main purpose of this paper is to establish a relationship between univalent harmonic mappings andHardy spaces.
📊
Temel Bulgular & Veri:The main result obtained in this paper improves previously published results.
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Sonuç & Katkı:Moreover, we generalizesome nice results in the analytic case to the harmonic case.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

The main purpose of this paper is to establish a relationship between univalent harmonic mappings andHardy spaces. The main result obtained in this paper improves previously published results. Moreover, we generalizesome nice results in the analytic case to the harmonic case.

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Bu Makaleye Atıf Yap

EBADIAN, A., AZIZI, S., YALÇIN, S. (2022). Univalent harmonic mappings and Hardy spaces. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 1, 284–292. https://ajindex.com/articles/607718

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Kaynakça (15)

  1. Abu-Muhanna Y. Bloch, BMO and harmonic univalent functions. Complex Variables Theory Appl 1996; 31: 271- 279
  2. Abu-Muhanna Y, Lyzzaik A. The boundary behavior of harmonic univalent maps. Pac J Math 1990; 141: 1-20
  3. Bshouty D, Hengartner W. Univalent harmonic mappings in the plane. In: Kuhnau R, editor. Handbook of Complex Analysis: Geometric Function Theory. Vol
  4. Amsterdam, the Netherlands: Elsevier, 2005, pp. 479-506
  5. Clunie J, Sheil-Small T. Harmonic univalent functions. Ann Acad Sci Fenn Ser AI 1984; 9: 3-25
  6. Duren P. Harmonic Mappings in the Plane. Tracts in Mathematics, 156. Cambridge, UK: Cambridge University Press, 2004
  7. Hernandez R, Martin MJ. Stable geometric properties of analytic and harmonic functions. Math Proc Camb Phil Soc 2013; 155: 343-359
  8. Kim YC. Some inequalities for uniformly locally univalent functions on the unit disk. Math Inequal Appl 2007; 10: 805-809
  9. Kim YC, Sugawa T. Growth and coefficient estimates for uniformly locally univalent functions on the unit disk. Rocky Mountain J Math 2002; 32: 179-200
  10. Lewy H. On the non-vanishing of the Jacobian in certain one-to-one mappings. B Am Math Soc 1936; 42: 689-692
  11. Nowak M. Integral means of univalent harmonic maps. Ann Univ Mariae Curie-Sklodwska 1996; 50: 155-162
  12. Pommerenke C. Linear-invariante Familien analytischer Funktionen I. Math Ann 1964; 155: 108-154 (in German)
  13. Ponnusamy S, Qiao J, Wang X. Uniformly locally univalent harmonic mappings. arXiv:1601.01139v1 [math.CV], 2016
  14. Sheil-Small T. Some conformal mapping inequalities for starlike and convex functions. J London Math Soc 1969; 2-1: 577-587
  15. Sheil-Small T. Constants for planar harmonic mappings. J London Math Soc 1990; 42: 237-248.