Bases and Interpolation (Solution)

  • Nikolaĭ K. Nikol’skiĭ
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 273)

Abstract

In order to complete the proof of the Theorem on Bases and Interpolation (Lecture III) it remains to verify that (C) ⇒ (CN). This is part of Carleson’s imbedding theorem describing all Borel measures ν on the disk D such that
$$f \in {H^2} \Rightarrow f \in {L^2}\left( \nu \right)$$
such measures will be called Carleson measures.

Keywords

Convolution Larg 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  • Nikolaĭ K. Nikol’skiĭ
    • 1
  1. 1.Leningrad Branch of the Steklov Mathematical InstituteLeningardUSSR

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