Certain partial differential subordinations on some Reinhardt domains in $ℂ^n$

Gabriela Kohr; Mirela Kohr

ArticleOriginal scientific text

Title

Certain partial differential subordinations on some Reinhardt domains in $ℂ^{n}$

Authors ¹, ¹

Affiliations

Faculty of Mathematics, Babeş-Bolyai University,1 M. Kogălniceanu Str., 3400 Cluj-Napoca, Romania

Abstract

We obtain an extension of Jack-Miller-Mocanu's Lemma for holomorphic mappings defined in some Reinhardt domains in

ℂ^{n}

. Using this result we consider first and second order partial differential subordinations for holomorphic mappings defined on the Reinhardt domain

B_{2 p}

with p ≥ 1.

Keywords

ENG

subordination, biholomorphic mapping, Reinhardt domain

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Title

Certain partial differential subordinations on some Reinhardt domains in ℂn

Affiliations

Abstract

Keywords

Bibliography

Certain partial differential subordinations on some Reinhardt domains in $ℂ^{n}$