Displaying similar documents to “Polycircular and semi-tubular domains in normed spaces.”

Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions

Włodzimierz Zwonek

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Our work is divided into five chapters. In Chapter I we introduce necessary notions and we present the most important facts that we shall use. We also present our main results. Chapter I covers the following topics: • holomorphically contractible families of functions and pseudometrics, their basic properties, product property, Lempert Theorem, notion of geodesic, problem of finding effective formulas for invariant functions and pseudometrics and geodesics, completeness...

Inner k -th Carathéodory-Reiffen completeness of Reinhardt domains

Paweł Zapałowski (2004)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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A description of bounded pseudoconvex Reinhardt domains, which are complete with respect to the inner k -th Carathéodory-Reiffen distance, is given.