Carleson measures for analytic Besov spaces
Arcozzi, Nicola ; Rochberg, Richard ; Sawyer, Eric
Rev. Mat. Iberoamericana, Tome 18 (2002) no. 1, p. 443-510 / Harvested from Project Euclid
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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.
Publié le : 2002-03-14
Classification:  Carleson measures,  discrete Sobolev inequalities,  30H05,  46E35,  46E39 
@article{1051544245,
     author = {Arcozzi, Nicola and Rochberg, Richard and Sawyer, Eric},
     title = {Carleson measures for analytic Besov spaces},
     journal = {Rev. Mat. Iberoamericana},
     volume = {18},
     number = {1},
     year = {2002},
     pages = { 443-510},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1051544245}
}

Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric. Carleson measures for analytic Besov spaces. Rev. Mat. Iberoamericana, Tome 18 (2002) no. 1, pp.  443-510. http://gdmltest.u-ga.fr/item/1051544245/