Randregularität des ...-Problems für die Halbkugel in ... .
Randregularität des ...-Problems für stückweise streng pseudokonvexe Gebiete in Cn.
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 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 Transverse Symmetries.
Remarks on restriction eigenfunctions in .
Remarks on the Bergman kernel function of a worm domain
We use a recent result of M. Christ to show that the Bergman kernel function of a worm domain cannot be -smoothly extended to the boundary.
Reproducing kernels and multiple interpolation by holomorphic functions
Reproducing kernels for holomorphic functions on some balls related to the Lie ball
We consider holomorphic functions and complex harmonic functions on some balls, including the complex Euclidean ball, the Lie ball and the dual Lie ball. After reviewing some results on Bergman kernels and harmonic Bergman kernels for these balls, we consider harmonic continuation of complex harmonic functions on these balls by using harmonic Bergman kernels. We also study Szegő kernels and harmonic Szegő kernels for these balls.
Reproducing properties and -estimates for Bergman projections in Siegel domains of type II
On homogeneous Siegel domains of type II, we prove that under certain conditions, the subspace of a weighted -space (0 < p < ∞) consisting of holomorphic functions is reproduced by a weighted Bergman kernel. We also obtain some -estimates for weighted Bergman projections. The proofs rely on a generalization of the Plancherel-Gindikin formula for the Bergman space .
Residue integral formulas and the Radon transform for differential forms on q-linearly concave domains.
Residues, currents, and their relation to ideals of holomorphic functions.
Résidus et dualité.