Open AccessCarleson measures for analytic Besov spaces
Author(s) -
Nicola Arcozzi,
Richard Rochberg,
Eric T. Sawyer
Publication year - 2002
Publication title -
revista matemática iberoamericana
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.569
H-Index - 52
eISSN - 2235-0616
pISSN - 0213-2230
DOI - 10.4171/rmi/326
Subject(s) - besov space , mathematics , computer science , interpolation space , functional analysis , biochemistry , chemistry , gene
We characterize Carleson measures for the analytic Besov spaces. The problem is first reduced to a discrete question involving measures on trees which is then solved. Applications are given to multipliers for the Besov spaces and to the determination of interpolating sequences. The discrete theorem is also applied to analysis of function space on trees.
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