Linearly invariant families of holomorphic functions in the unit polydisc

• Autorzy: Janusz Godula , Victor Starkov
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1996
• Tom: 37
• Numer: 1
• Strony: 115-127

Daty

wydano

1996

Twórcy

autor

Janusz Godula

• Institute of Mathematics, Maria Curie-Skłodowska University, PL-20-031 Lublin, Poland

autor

Victor Starkov

• Department of Mathematics, University of Petrozavodsk, Petrozavodsk, Russia

Bibliografia

• [1] Ch. Pommerenke, Linear-invariante Familien analytischer Funktionen, Math. Ann., 155 (1964), 108-154.
• [2] J. Godula, V. Starkov, Applications of ideas of Möbius invariance to obtaining equivalent definitions of Bloch functions, Annales Univ. Mariae Curia-Skłodowska 49 (1996), 41-58.
• [3] J. Godula, V. Starkov, Equivalent definitions of universal linearly-invariant familie, Materiały XI Konferencji Szkoleniowej z Teorii Zagadnień Ekstremalnych, Łódź, 1990, 34-38.
• [4] R.M. Timoney, Bloch functions in several complex variables, I, Bull. London Math. Soc., 12 (1980), 241-267.