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arXiv · 1310.5801

Weighted Bloch spaces and quadratic integrals

Evgueni Doubtsov
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Abstract

Let $\mathcal{B}^{\omega}(B_d)$ denote the $\omega$-weighted Bloch space in the unit ball $B_d$ of $\mathbb{C}^d$, $d\ge 1$. We show that the quadratic integral $$ \int_x^1 \frac{\omega^2(t)}{t}\, dt,\quad 0<x<1, $$ governs the radial divergence and integral reverse estimates in $\mathcal{B}^{\omega}(B_d)$.

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Evgueni Doubtsov. 2013-10-22. Weighted Bloch spaces and quadratic integrals. https://doi.org/10.1016/j.jmaa.2013.10.065

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