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

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 d...

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Veröffentlicht in:Vestnik KRAUNT͡S︡: fiziko-matematicheskie nauki 2021-11, Vol.2021 (3), p.40-64
1. Verfasser: Shamoyan, R.F.
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Sprache:eng
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Zusammenfassung: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.
ISSN:2079-6641
2079-665X
DOI:10.26117/2079-6641-2021-36-3-40-64