Carleson measures for analytic Besov spaces.

Nicola Arcozzi; Richard Rochberg; Eric Sawyer

Revista Matemática Iberoamericana (2002)

  • Volume: 18, Issue: 2, page 443-510
  • ISSN: 0213-2230

Abstract

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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.

How to cite

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Arcozzi, Nicola, Rochberg, Richard, and Sawyer, Eric. "Carleson measures for analytic Besov spaces.." Revista Matemática Iberoamericana 18.2 (2002): 443-510. <http://eudml.org/doc/39672>.

@article{Arcozzi2002,
abstract = {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.},
author = {Arcozzi, Nicola, Rochberg, Richard, Sawyer, Eric},
journal = {Revista Matemática Iberoamericana},
keywords = {Espacios de funciones holomorfas; Espacios de Sobolev; Espacio de medida; Multiplicadores; Espacios de Besov; Medidas de Carleson; Carleson measure; Besov space; trees},
language = {eng},
number = {2},
pages = {443-510},
title = {Carleson measures for analytic Besov spaces.},
url = {http://eudml.org/doc/39672},
volume = {18},
year = {2002},
}

TY - JOUR
AU - Arcozzi, Nicola
AU - Rochberg, Richard
AU - Sawyer, Eric
TI - Carleson measures for analytic Besov spaces.
JO - Revista Matemática Iberoamericana
PY - 2002
VL - 18
IS - 2
SP - 443
EP - 510
AB - 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.
LA - eng
KW - Espacios de funciones holomorfas; Espacios de Sobolev; Espacio de medida; Multiplicadores; Espacios de Besov; Medidas de Carleson; Carleson measure; Besov space; trees
UR - http://eudml.org/doc/39672
ER -

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