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Tents and interpolating sequences in the unit ball

  • Pascal J. Thomas
Special Year Papers
Part of the Lecture Notes in Mathematics book series (LNM, volume 1276)

Abstract

A sufficient condition is given to make a sequence of points interpolating for H(Bn). The methods are elementary: construction of the P. Beurling functions. This can be used to prove the sharpness of the exponent of Varopoulos’s necessary condition for interpolation. The result is also compared with Berndtsson’s recent sufficient condition, in conjunction with which it gives a slightly improved theorem.

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References

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Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • Pascal J. Thomas
    • 1
    • 2
  1. 1.Department of MathematicsUniversity of CaliforniaLos Angeles
  2. 2.Department of MathematicsOccidental CollegeLos Angeles

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