Titlebook: Complex Analysis and Geometry; International Confer P. Dolbeault,A. Iordan,J.-M. Trépreau Conference proceedings 2000 Springer Basel AG 200

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https://doi.org/10.1007/978-3-662-54639-0General problem: given a surface . in ?. = {(., .)}, . = . + ., . = . + . find a Levi-flat (i.e. foliated by complex curves) hypersurface . such that . = .(.=booumdary of .).

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,Présence de I’oeuvre de Pierre Lelong dans les grands thèmes de recherches d’aujourd’hui,This talk has been given for the opening of the Conference in honor of Pierre Lelong (Paris, September 1997). We have selected the main topics of P. Lelong’s research which are still up to date and productive.

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Hypoellipticity: Geometrization and speculation,To any finite collection of smooth real vector fields . . in ?. we associate a metric in the phase space T??.. The relation between the asymptotic behavior of this metric and hypoellipticity of., in the smooth, real analytic, and Gevrey categories, is explored.

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Pointwise nonisotropic support functions on convex domains,We construct holomorphic support functions on a smoothly bounded, convex domain of finite type in ?. which satisfy sharp, nonisotropic estimates near the fixed boundary point where the functions vanish.

只看該作者 · 發(fā)表于 2025-3-29 22:26:26

,Boundaries of Levi-flat hypersurfaces of ?2,General problem: given a surface . in ?. = {(., .)}, . = . + ., . = . + . find a Levi-flat (i.e. foliated by complex curves) hypersurface . such that . = .(.=booumdary of .).

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Progress in Mathematicshttp://image.papertrans.cn/c/image/231375.jpg

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