DOI

In this paper the problem of density in the space C(X), for a compact set X⊂C, of polynomial modules of the type p+zdq:p,q∈C[z] for integer d>1, as well as several related problems are studied. We obtain approximability criteria for Carathéodory compact sets using the concept of a d-Nevanlinna domain, which is a new special analytic characteristic of planar simply connected domains. In connection with this concept we study the problem of taking roots in the model spaces, that is, in the subspaces of the Hardy space H2 which are invariant under the backward shift operator.

Язык оригиналаанглийский
Страницы (с-по)1-16
Число страниц16
ЖурналJournal of Approximation Theory
Том206
DOI
СостояниеОпубликовано - 1 июн 2016

    Предметные области Scopus

  • Анализ
  • Численный анализ
  • Математика (все)
  • Прикладная математика

ID: 42796647