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arXiv · 1109.0814

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

Ru Peng·Caiheng Ouyang
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Abstract

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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Ru Peng, Caiheng Ouyang. 2011-09-05. Carleson measures for Besov-Sobolev spaces with applications in the unit ball of $C^n$. https://arxiv.org/abs/1109.0814

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