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Carleson Measures for Besov-Sobolev Spaces with Applications in the Unit Ball of C
Authors:Ru PENG  Caiheng OUYANG
Institution:1. Department of Mathematics, Wuhan University of Technology, Wuhan 430070, China;2. Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, China
Abstract:This paper is devoted to give the connections between Carleson measures for Besov-Sobolev spaces Bpσ (B) and p-Carleson measure in the unit ball of Cn. As applications, we characterize the Riemann-Stieltjes operators and multipliers acting on Bpσ (B) spaces by means of Carleson measures for Bpσ (B).
Keywords:Carleson measures  Besov-Sobolev spaces  Riemann-Stieltjes operators  multipliers
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