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Linearly invariant families of holomorphic functions in the unit polydisc

Janusz Godula; Victor Starkov — 1996

Banach Center Publications

In this paper we extend the definition of the linearly invariant family and the definition of the universal linearly invariant family to higher dimensional case. We characterize these classes and give some of their properties. We also give a relationship of these families with the Bloch space.

On locally biholomorphic mappings from multi-connected onto simply connected domains

Piotr Liczberski; Victor V. Starkov — 2005

Annales Polonici Mathematici

We continue E. Ligocka's investigations concerning the existence of m-valent locally biholomorphic mappings from multi-connected onto simply connected domains. We decrease the constant m, and also give the minimum of m in the case of mappings from a wide class of domains onto the complex plane ℂ.

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