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For 0 < 1/2 we characterize Carleson measures for the analytic Besov-Sobolev spaces B
 

Summary: Abstract
For 0 < 1/2 we characterize Carleson measures µ for the analytic
Besov-Sobolev spaces B
2 on the unit ball Bn in Cn
by the discrete tree
condition
X

h
2d()
I
µ ()
i2
CI
µ () < , Tn,
on the associated Bergman tree Tn. Combined with recent results about
interpolating sequences this leads, for this range of , to a characteriza-
tion of universal interpolating sequences for B
2 and also for its multiplier
algebra.

  

Source: Arcozzi, Nicola - Dipartimento di Matematica, Universitą di Bologna

 

Collections: Mathematics