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arXiv · 0805.4448

On some equivalent definitions of $\rho$- Carleson measures on the unit ball

Benoit F. Sehba
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Abstract

We give in this paper some equivalent definitions of the so called $\rho$-Carleson measures when $\rho(t)=(\log(4/t))^p(\log\log(e^4/t))^q$, $0\le p,q<\infty$. As applications, we characterize the pointwise multipliers on $LMOA(\mathbb S^n)$ and from this space to $BMOA(\mathbb S^n)$. Boundedness of the Ces\`aro type integral operators on $LMOA(\mathbb S^n)$ and from $LMOA(\mathbb S^n)$ to $BMOA(\mathbb S^n)$ is considered as well.

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Benoit F. Sehba. 2008-05-29. On some equivalent definitions of $\rho$- Carleson measures on the unit ball. https://arxiv.org/abs/0805.4448

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