Revista Matemática Iberoamericana

Carleson measures for analytic Besov spaces

Nicola Arcozzi, Richard Rochberg, and Eric Sawyer

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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.

Article information

Rev. Mat. Iberoamericana, Volume 18, Number 2 (2002), 443-510.

First available in Project Euclid: 28 April 2003

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Zentralblatt MATH identifier

Primary: 30H05: Bounded analytic functions 46E35: Sobolev spaces and other spaces of "smooth" functions, embedding theorems, trace theorems 46E39: Sobolev (and similar kinds of) spaces of functions of discrete variables

Carleson measures discrete Sobolev inequalities


Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric. Carleson measures for analytic Besov spaces. Rev. Mat. Iberoamericana 18 (2002), no. 2, 443--510.

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