Regular analytic arcs and curves
Regular analytic transformations of
Existence of loops for non-injective regular analytic transformations of the real plane is shown. As an application, a criterion for injectivity of a regular analytic transformation of in terms of the Jacobian and the first and second order partial derivatives is obtained. This criterion is new even in the special case of polynomial transformations.
Regular foliations along curves
Regular holomorphic images of balls
Every -dimensional complex manifold (connected, paracompact and Hausdorff) is the image of the unit ball in under a finite holomorphic map that is locally biholomorphic.
Reguläre Differentialformen.
Reguläre Differentialformen des Körpers der Siegelschen Modulfunktionen.
Régularité Gevrey au sens de Beurling ou Roumieu pour l'opérateur ... dans des ouverts non bornés.
Régularité höldérienne de l’opérateur sur le triangle de Hartogs
On résout à l’aide de formules intégrales explicites les équations de Cauchy-Riemann sur le triangle de Hartogs. On montre que, si la donnée est dans une classe höldérienne , la solution est dans la même classe.
Régularité hölderienne du ...b dans les hypersurfaces 1-convexes-concaves.
Regularity and extremality of quasiconformal homeomorphisms on CR 3-manifolds.
Regularity and Uniqueness of Solutions to Boundary Blow-up Problems for the Complex Monge-Ampère Operator
We prove that plurisubharmonic solutions to certain boundary blow-up problems for the complex Monge-Ampère operator are Lipschitz continuous. We also prove that in certain cases these solutions are unique.
Regularity for elliptic pairs over
Regularity of certain sets in ℂⁿ
A subset K of ℂⁿ is said to be regular in the sense of pluripotential theory if the pluricomplex Green function (or Siciak extremal function) is continuous in ℂⁿ. We show that K is regular if the intersections of K with sufficiently many complex lines are regular (as subsets of ℂ). A complete characterization of regularity for Reinhardt sets is also given.
Regularity of CR Mappings.
Regularity of local embeddings of strictly pseudoconvex CR structures.
Regularity of the Bergman Projection and Duality of Holomorphic Function Spaces.
Regularity of the Bergman Projection in Weakly Pseudoconvex Domains.
Regularity of the Bergman Projection on Domains with Partial Transverse Symmetries.
Regularity of the Bergman Projection on Domains with Transverse Symmetries.
Regularity of the tangential Cauchy-Riemann complex and applications