Geodesic
Growth Spaces and Growth Norm Estimates for on Convex Domains of Finite Type
Canadian mathematical bulletin, Tome 49 (2006) no. 4, pp. 508-525

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DOI

We consider the growth norm of a measurable function $f$ defined by $${{\left\| f \right\|}_{-\sigma }}=\text{ess}\,\,\text{sup}\left\{ {{\delta }_{D}}{{\left( z \right)}^{\sigma }}\left| f\left( z \right) \right|:z\in D \right\},$$ where ${{\delta }_{D}}\left( z \right)$ denote the distance from $z$ to $\partial D$ . We prove some optimal growth norm estimates for $\bar{\partial }$ on convex domains of finite type.
DOI : 10.4153/CMB-2006-049-3
Mots-clés : 32W05, 32A26, 32A36 
Cho, Hong Rae. Growth Spaces and Growth Norm Estimates for on Convex Domains of Finite Type. Canadian mathematical bulletin, Tome 49 (2006) no. 4, pp. 508-525. doi: 10.4153/CMB-2006-049-3
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     author = {Cho, Hong Rae},
     title = {Growth {Spaces} and {Growth} {Norm} {Estimates} for on {Convex} {Domains} of {Finite} {Type}},
     journal = {Canadian mathematical bulletin},
     pages = {508--525},
     year = {2006},
     volume = {49},
     number = {4},
     doi = {10.4153/CMB-2006-049-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-049-3/}
}
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