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.
The present work, in a slightly altered form, constitutes part of the author’s Ph.D. dissertation, written under the supervision of John B. Garnett at the University of California at Los Angeles.
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References
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© 1987 Springer-Verlag
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Thomas, P.J. (1987). Tents and interpolating sequences in the unit ball. In: Berenstein, C.A. (eds) Complex Analysis II. Lecture Notes in Mathematics, vol 1276. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078965
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DOI: https://doi.org/10.1007/BFb0078965
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