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Boundary regularity of Nevanlinna domains and univalent functions in model subspaces. / Baranov, A.D.; Fedorovskiy, K.Yu.

In: Sbornik Mathematics, Vol. 202, No. 12, 2011, p. 1723-1741.

Research output: Contribution to journal › Article

Harvard

Baranov, AD & Fedorovskiy, KY 2011, 'Boundary regularity of Nevanlinna domains and univalent functions in model subspaces', Sbornik Mathematics, vol. 202, no. 12, pp. 1723-1741. https://doi.org/doi:10.1070/SM2011v202n12ABEH004205

APA

Baranov, A. D., & Fedorovskiy, K. Y. (2011). Boundary regularity of Nevanlinna domains and univalent functions in model subspaces. Sbornik Mathematics, 202(12), 1723-1741. https://doi.org/doi:10.1070/SM2011v202n12ABEH004205

Vancouver

Baranov AD, Fedorovskiy KY. Boundary regularity of Nevanlinna domains and univalent functions in model subspaces. Sbornik Mathematics. 2011;202(12):1723-1741. https://doi.org/doi:10.1070/SM2011v202n12ABEH004205

Author

Baranov, A.D. ; Fedorovskiy, K.Yu. / Boundary regularity of Nevanlinna domains and univalent functions in model subspaces. In: Sbornik Mathematics. 2011 ; Vol. 202, No. 12. pp. 1723-1741.

BibTeX

@article{07850cec17304899878cc06f44b07c82,
title = "Boundary regularity of Nevanlinna domains and univalent functions in model subspaces",
abstract = "In the paper we study boundary regularity of Nevanlinna domains, which have appeared in problems of uniform approximation by polyanalytic polynomials. A new method for constructing Nevanlinna domains with essentially irregular nonanalytic boundaries is suggested; this method is based on finding appropriate univalent functions in model subspaces, that is, in subspaces of the form KΘ = H2 ⊖ ΘH2, where Θ is an inner function. To describe the irregularity of the boundaries of the domains obtained, recent results by Dolzhenko about boundary regularity of conformal mappings are used.",
keywords = "Nevanlinna domain, model subspace KΘ, conformal mapping, inner function, Blaschke product.",
author = "A.D. Baranov and K.Yu. Fedorovskiy",
year = "2011",
doi = "doi:10.1070/SM2011v202n12ABEH004205",
language = "не определен",
volume = "202",
pages = "1723--1741",
journal = "Sbornik Mathematics",
issn = "1064-5616",
publisher = "Turpion Ltd.",
number = "12",

}

RIS

TY - JOUR

T1 - Boundary regularity of Nevanlinna domains and univalent functions in model subspaces

AU - Baranov, A.D.

AU - Fedorovskiy, K.Yu.

PY - 2011

Y1 - 2011

N2 - In the paper we study boundary regularity of Nevanlinna domains, which have appeared in problems of uniform approximation by polyanalytic polynomials. A new method for constructing Nevanlinna domains with essentially irregular nonanalytic boundaries is suggested; this method is based on finding appropriate univalent functions in model subspaces, that is, in subspaces of the form KΘ = H2 ⊖ ΘH2, where Θ is an inner function. To describe the irregularity of the boundaries of the domains obtained, recent results by Dolzhenko about boundary regularity of conformal mappings are used.

AB - In the paper we study boundary regularity of Nevanlinna domains, which have appeared in problems of uniform approximation by polyanalytic polynomials. A new method for constructing Nevanlinna domains with essentially irregular nonanalytic boundaries is suggested; this method is based on finding appropriate univalent functions in model subspaces, that is, in subspaces of the form KΘ = H2 ⊖ ΘH2, where Θ is an inner function. To describe the irregularity of the boundaries of the domains obtained, recent results by Dolzhenko about boundary regularity of conformal mappings are used.

KW - Nevanlinna domain

KW - model subspace KΘ

KW - conformal mapping

KW - inner function

KW - Blaschke product.

U2 - doi:10.1070/SM2011v202n12ABEH004205

DO - doi:10.1070/SM2011v202n12ABEH004205

M3 - статья

VL - 202

SP - 1723

EP - 1741

JO - Sbornik Mathematics

JF - Sbornik Mathematics

SN - 1064-5616

IS - 12

ER -

ID: 5361707