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arxiv: 1109.0814 · v2 · pith:OFYCRKF3new · submitted 2011-09-05 · 🧮 math.CV · math.FA

Carleson measures for Besov-Sobolev spaces with applications in the unit ball of C^n

classification 🧮 math.CV math.FA
keywords carlesonmeasuressigmaspacesapplicationsballbesov-sobolevunit
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This paper is devoted to give the connections between Carleson measures for Besov-Sobolev spaces $B_p^\sigma (B)$ and $p$-Carleson measure in the unit ball of ${\bf C}^n$. As applications, we characterize the Riemann-Stieltjes operators and multipliers acting on $B_p^\sigma (B)$ spaces by means of Carleson measures for $B_p^\sigma (B)$.

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