Extreme points of subordination and weak subordination families of harmonic mappings

Jinjing Qiao; Xiantao Wang

Czechoslovak Mathematical Journal (2011)

  • Volume: 61, Issue: 1, page 145-155
  • ISSN: 0011-4642

Abstract

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The aim of the paper is to discuss the extreme points of subordination and weak subordination families of harmonic mappings. Several necessary conditions and sufficient conditions for harmonic mappings to be extreme points of the corresponding families are established.

How to cite

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Qiao, Jinjing, and Wang, Xiantao. "Extreme points of subordination and weak subordination families of harmonic mappings." Czechoslovak Mathematical Journal 61.1 (2011): 145-155. <http://eudml.org/doc/196890>.

@article{Qiao2011,
abstract = {The aim of the paper is to discuss the extreme points of subordination and weak subordination families of harmonic mappings. Several necessary conditions and sufficient conditions for harmonic mappings to be extreme points of the corresponding families are established.},
author = {Qiao, Jinjing, Wang, Xiantao},
journal = {Czechoslovak Mathematical Journal},
keywords = {planar harmonic mapping; extreme point; subordination; weak subordination; class $N$; planar harmonic mapping; extreme point; subordination; weak subordination; class },
language = {eng},
number = {1},
pages = {145-155},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Extreme points of subordination and weak subordination families of harmonic mappings},
url = {http://eudml.org/doc/196890},
volume = {61},
year = {2011},
}

TY - JOUR
AU - Qiao, Jinjing
AU - Wang, Xiantao
TI - Extreme points of subordination and weak subordination families of harmonic mappings
JO - Czechoslovak Mathematical Journal
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 61
IS - 1
SP - 145
EP - 155
AB - The aim of the paper is to discuss the extreme points of subordination and weak subordination families of harmonic mappings. Several necessary conditions and sufficient conditions for harmonic mappings to be extreme points of the corresponding families are established.
LA - eng
KW - planar harmonic mapping; extreme point; subordination; weak subordination; class $N$; planar harmonic mapping; extreme point; subordination; weak subordination; class
UR - http://eudml.org/doc/196890
ER -

References

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  13. Srivastava, H. M., Sümer, E. Sevtap, 10.1016/j.aml.2007.02.032, Appl. Math. Lett. 21 (2008), 394-399. (2008) MR2406520DOI10.1016/j.aml.2007.02.032
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  15. Lin, Z., Subordination of analytic functions, Chinese Acta. Sci. Natur. Univ. Sunyatseni 29 (1990), 44-48. (1990) MR1075847

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