Journal of Soviet Mathematics

, Volume 36, Issue 3, pp 319–325 | Cite as

Free interpolation of germs of analytic functions in Hardy spaces

  • S. A. Vinogradov
  • S. E. Rukshin
Article
  • 21 Downloads

Abstract

One proves theorems on the interpolation of germs of analytic functions, defined in the neighborhoods of the interpolation nodes, in the Hardy spaces HP(0 < p ⩽ +∞), generalizing the corresponding results of N. K. Nikol'skii and V. I. Vasyunin for the classes H and H2. One obtains estimates of the norms of the interpolating functions in terms of the parameter of the set on which the interpolation is performed.

Keywords

Analytic Function Hardy Space Interpolation Node Free Interpolation 

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Literature cited

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Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • S. A. Vinogradov
  • S. E. Rukshin

There are no affiliations available

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