Carleson measures and H^p interpolating sequences in the polydisc

2019/11/16 by Amar, Eric
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1911.07038

Abstract

Let S be a sequence of points in \mathbbDⁿ. Suppose that S is H^p interpolating. Then we prove that the sequence S is Carleson, provided that p>2. We also give a sufficient condition, in terms of dual boundedness and Carleson measure, for S to be an H^p interpolating sequence.

Related

• Simply interpolating and Carleson sequences for Hardy spaces in the polydisc
• On separated Carleson sequences in the unit disc of ℂ.
• Interpolating sequences for H^∞(B_H)
• On Interpolation by Functions in ℓ^p_A
• On the linear extension property for interpolating sequences