Integral operators, embedding theorems, Taylor coefficients, isometries, boundary behaviour of area-Nevanlinna type spaces in higher dimension and related problems

R. F. Shamoyan

Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 36 (2021) no. 3, pp. 40-64

Résumé

This paper contains an overview of recent results of Area-Nevanlinna classes in higher dimension. We here consider various aspects of this new interesting research area of analytic function theory in higher dimension (integral operations, embedding theorems, Taylor coefficients). Previously in one dimension all these results were known. New open interesting Problems in this new research area will be also discussed and indicated.

Détail

Keywords: polydisk, unit ball, integral operators, analytic functions, analytic spaces, area Nevanlinna type spaces, tubular domain, isometries, boundary behaviour.
Mots-clés : Taylor coefficients, pseudoconvex domain

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