Subordination theory for holomorphic mappings of several complex variables

Gabriela Kohr; Mirela Kohr-Ile

Banach Center Publications (1996)

  • Volume: 37, Issue: 1, page 129-134
  • ISSN: 0137-6934

Abstract

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The authors obtain a generalization of Jack-Miller-Mocanu’s lemma and, using the technique of subordinations, deduce some properties of holomorphic mappings from the unit polydisc in ℂ n into ℂ n .

How to cite

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Kohr, Gabriela, and Kohr-Ile, Mirela. "Subordination theory for holomorphic mappings of several complex variables." Banach Center Publications 37.1 (1996): 129-134. <http://eudml.org/doc/208589>.

@article{Kohr1996,
abstract = {The authors obtain a generalization of Jack-Miller-Mocanu’s lemma and, using the technique of subordinations, deduce some properties of holomorphic mappings from the unit polydisc in $ℂ^n$ into $ℂ^n$.},
author = {Kohr, Gabriela, Kohr-Ile, Mirela},
journal = {Banach Center Publications},
keywords = {holomorphic mappings; subordination},
language = {eng},
number = {1},
pages = {129-134},
title = {Subordination theory for holomorphic mappings of several complex variables},
url = {http://eudml.org/doc/208589},
volume = {37},
year = {1996},
}

TY - JOUR
AU - Kohr, Gabriela
AU - Kohr-Ile, Mirela
TI - Subordination theory for holomorphic mappings of several complex variables
JO - Banach Center Publications
PY - 1996
VL - 37
IS - 1
SP - 129
EP - 134
AB - The authors obtain a generalization of Jack-Miller-Mocanu’s lemma and, using the technique of subordinations, deduce some properties of holomorphic mappings from the unit polydisc in $ℂ^n$ into $ℂ^n$.
LA - eng
KW - holomorphic mappings; subordination
UR - http://eudml.org/doc/208589
ER -

References

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  1. [1] B. Chabat, Introduction à l'analyse complexe, tome 2, ed. MIR, Moscou, 1990. 
  2. [2] Sh. Gong and S. S. Miller, Partial differential subordinations and inequalities defined on complete circular domain, Comm. Partial Differential Equations, 11 (1986), 1243-1255. Zbl0606.32002
  3. [3] G. Kohr and M. Kohr-Ile, Partial differential subordinations and inequalities for holomorphic mappings of several complex variables, Ms., to appear. 
  4. [4] P. Liczberski, Jack's Lemma for holomorphic mappings, Ann. Univ. Mariae Curie-Skłodowska, Sect. A, 40 (1986), 131-139. Zbl0639.32003
  5. [5] S. S. Miller and P. T. Mocanu, Second order differential inequalities in the complex plane, J. Math. Anal. Appl., 65 (1978), 289-305. Zbl0367.34005
  6. [6] S. S. Miller and P. T. Mocanu, Differential subordinations and univalent functions, Michigan Math. J., 20 (1981), 157-171. Zbl0439.30015
  7. [7] S. S. Miller and P. T. Mocanu, The theory and applications of second order differential subordinations, Studia Univ. Babeş-Bolyai (Mathematica), 34 (1989), 13-33. Zbl0900.30031
  8. [8] T. J. Suffridge, The principle of subordination applied to functions of several variables, Pacific J. Math., 33 (1970), 241-248. Zbl0196.09601
  9. [9] T. J. Suffridge, Starlike and convex maps in Banach spaces, Pacific J. Math., 46 (1973), 575-589. Zbl0263.30016

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