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1. CMB 2006 (vol 49 pp. 508)
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Growth Spaces and Growth Norm Estimates for $\Bar\partial$ on Convex Domains of Finite Type We consider the growth norm of a measurable function $f$ defined by
$$\|f\|_{-\sigma}=\ess\{\delta_D(z)^\sigma|f(z)|:z\in D\},$$
where $\delta_D(z)$ denote the distance from $z$ to $\partial D$.
We prove some optimal growth norm estimates for $\bar\partial$
on convex domains of finite type.
Categories:32W05, 32A26, 32A36 |