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Siberian Mathematical Journal

, Volume 58, Issue 3, pp 392–404 | Cite as

An extremal problem in the Hardy space H p for 0<p<∞

  • Kh. Kh. BurchaevEmail author
  • V. G. Ryabykh
  • G. Yu. Ryabykh
Article
  • 28 Downloads

Abstract

We prove that if the function determining a linear functional over the Hardy space is analytic on the disk of radius greater than 1 then the extremal function of this functional is analytic on the same disk.

Keywords

Hardy space linear functional extremal function uniqueness derivative 

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Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  • Kh. Kh. Burchaev
    • 1
    Email author
  • V. G. Ryabykh
    • 2
  • G. Yu. Ryabykh
    • 3
  1. 1.Chechnya State UniversityGroznyĭRussia
  2. 2.Southern Federal UniversityRostov-on-DonRussia
  3. 3.Don State Technical UniversityRostov-on-DonRussia

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