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Keywords:
Carleson measure; $BMOA$ functions; Hardy spaces
Carleson measure; $BMOA$ functions; Hardy spaces
Summary:
The main purpose of this note is to give a new characterization of the well-known Carleson measure in terms of the integral for $BMOA$ functions with their derivatives on the unit ball.
References:
[Ca1] An interpolation problem for bounded analytic functions.
[Ca2] Interpolation by bounded analytic functions and the corona problem.
[Ch] $VMOA$ and vanishing Carleson measures.
[Hö] $L^p$-estimates for (pluri-)subharmonic functions.
[Je] Two Carleson measure theorems for Hardy spaces.
[Lu] Forward and reverse Carleson inequalities for functions in Bergman spaces and their derivatives.
[Ru] Function theory in the unit ball in $\Cal C^n$.
[Wu] Carleson inequalities for Bergman spaces and Bloch spaces in the unit ball of $\Cal C^n$.
[Zh] The Bergman spaces, the Bloch spaces, and Gleason's problem.
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