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Subaveraging estimate for
Authors:Victoria Paolantoni
Institution:Centre de Mathématiques et Informatique, Université de Provence, 39, avenue Joliot Curie, 13453 Marseille Cédex 13, France
Abstract:Let $M$ be a smooth real hypersurface of $\mathrm{C}^{n}$ and $N$ a compact submanifold of $M$. We generalize a result of A. Boggess and R. Dwilewicz giving, under some geometric conditions on $M$ and $N$, an estimate of the submeanvalue on $N$ of any $CR$ function $f$ on a neighbourhood of $N$, by the $L^{1}$ norm of $f$ on a neighbourhood of $N$ in $M$.

Keywords:Analytic disc  nonisotropic ball  finite type
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