Transfer of Estimates from Convex to Strongly Pseudoconvex Domains in
In this article, estimates of the hyperbolic and Carathéodory distances in domains , n ≥ 1, are obtained. They are equally valid for the Kobayashi distance.
Twisted sheaves on complex spaces
Two remarks on the Suita conjecture
It is shown that the weak multidimensional Suita conjecture fails for any bounded non-pseudoconvex domain with -smooth boundary. On the other hand, it is proved that the weak converse to the Suita conjecture holds for any finitely connected planar domain.
Über eine Vermutung von Hartshorne.
Un théorème d'algébraicité intermédiaire.
Un Théorème de Finitude pour les Morphismes q-Convexes
Une remarque sur l'hyperbolicité injective
In this Note, I prove that, in many cases, the injective Kobayashi pseudodistance, as defined by Hahn, is equal to the Kobayashi pseudodistance.
Uniform estimates for the Cauchy-Riemann equation on -convex wedges
We study the -equation with Hölder estimates in -convex wedges of by means of integral formulas. If is defined by some inequalities , where the real hypersurfaces are transversal and any nonzero linear combination with nonnegative coefficients of the Levi form of the ’s have at least positive eigenvalues, we solve the equation for each continuous -closed form in , , with the following estimates: if denotes the distance to the boundary of and if is bounded, then for all ,...
Uniform Estimates for the d-Equation on Domains with Piecewise Smooth Strictly Pseudoconvex Boundaries.
Variations on a theme of Carathéodory
Weak lineal convexity
A bounded open set with boundary of class C¹ which is locally weakly lineally convex is weakly lineally convex, but, as shown by Yuriĭ Zelinskiĭ, this is not true for unbounded domains. The purpose here is to construct explicit examples, Hartogs domains, showing this. Their boundary can have regularity or . Obstructions to constructing smoothly bounded domains with certain homogeneity properties will be discussed.
Zum Homotopietyp q-vollständiger Räume.
Инвариантные метрики и индикатрисы ограниченных областей в .
Инвариантные метрики на пространствах замкнутых римановых поверхностей.
Интегральные представления дифференциальных форм на многообразиях Коши-Римана и теория CR-функций. II
Многомерная композиция Адамара.
Некоторые свойства линейно выпуклых областей с гладкими границами в
О гиперболической вложенности дополнений к дивизорам и предельном поведении метрики Кобаяси-Ройдена
Об иcкaжeнии пpи голоморфныx oтoбpaжeнияx в гипepбoлические многоoбpaэия
Об инвариантных метриках в пространствах Тейхмюллера.