DOI

Given an inner function Θ on the unit disc D, we study the boundedness of the differentiation operator which acts from the model subspace K Θ = (ΘH 2 ) of the Hardy space H 2 , equipped with the BMOA-norm to some radial-weighted Bergman space. As an application, we generalize Peller’s inequality for Besov norms of rational functions f of degree n ≥ 1 having no poles in the closed unit disc D¯.

Язык оригиналаанглийский
Страницы (с-по)189-209
Число страниц21
ЖурналJournal d'Analyse Mathematique
Том137
Номер выпуска1
DOI
СостояниеОпубликовано - 1 мар 2019

    Предметные области Scopus

  • Анализ
  • Математика (все)

ID: 42796589