DOI

We consider the question of the density in the space Lp, 1 ≤ p ≤ ∞, on the unit circle, of the subspaces Hpmk=1 wkHp, where Hp is the standard Hardy space and w1,...,wm are given functions in the class L. This question is closely related to problems of uniform and Lp-approximations of functions by polyanalytic polynomials on the boundaries of simple connected domains in ℂ. The obtained results are formulated in terms of Nevanlinna and d-Nevanlinna domains, that is, in terms of special analytic characteristics of simply connected domains in ℂ, which are related to the pseudocontinuation property of bounded holomorphic functions

Original languageEnglish
Pages (from-to)140-154
Number of pages15
JournalSbornik Mathematics
Volume207
Issue number1
DOIs
StatePublished - 2016
Externally publishedYes

    Scopus subject areas

  • Algebra and Number Theory

    Research areas

  • D-Nevanlinna domain, L-approximation, Nevanlinna domain, Polyanalytic polynomial, Pseudocontinuation, Uniform approximation

ID: 86669439