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

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

2011-09-05

arxiv.org/abs/1109.0814v1

Mathematics

Complex Variables

Scientific paper

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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