Carleson measures for analytic Besov spaces. (English) Zbl 1059.30051

Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric

Rev. Mat. Iberoam. 18, No. 2, 443-510 (2002).

The paper characterizes Carleson measures for the analytic Besov spaces of the unit disk. Applications are given to multipliers for the Besov spaces and to the determination of interpolating sequences for Besov spaces. The discrete version of the theorem is also applied to the analysis of function spaces on trees.

Reviewer: Kehe Zhu (Albany)

MSC:

30H05

Spaces of bounded analytic functions of one complex variable

Keywords:

Carleson measure; Besov space; trees