Abstract
Let S be a sequence of points in the unit ball B of C n which is separated for the hyperbolic distance and contained in the zero set of a Nevanlinna function. We prove that the associated measure S := P a2S (1j aj 2 ) n a is bounded, by use of the Wirtinger inequality. Conversely, if X is an analytic subset of B such that any -separated sequence S has its associated measure S bounded by C= n ; then X is the zero set of a function in the Nevanlinna class of B: As an easy consequence, we prove that if S is a dual bounded sequence in H p (B); then S is a Carleson measure, which gives a short proof in one variable of a theorem of L. Carleson and in several variables of a theorem of P. Thomas.
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