On Decomposition Theorems for Hardy Spaces on Domains in ... and Applications.
On definitions of the pluricomplex Green function
We give several definitions of the pluricomplex Green function and show their equivalence.
On Deformations and the Local Torelli Problem of Cyclic Branched Coverings.
On Deformations of Compactifiable Complex Manifolds.
On deformations of holomorphic foliations
Given a non-singular holomorphic foliation on a compact manifold we analyze the relationship between the versal spaces and of deformations of as a holomorphic foliation and as a transversely holomorphic foliation respectively. With this purpose, we prove the existence of a versal unfolding of parametrized by an analytic space isomorphic to where is smooth and : is the forgetful map. The map is shown to be an epimorphism in two situations: (i) if , where is the sheaf of...
On Deformations of Holomorphic Maps. III.
On Deformations of Kähler Spaces. I.
On deformations of monomial curves
On Deformations of Quintic Surfaces.
On Deformations of Threedimensional Rational Manifolds.
On deformations of transversely holomorphic foliations.
On Deligne-Malgrange lattices, resolution of turning points and harmonic bundles
In this short survey, we would like to overview the recent development of the study on Deligne-Malgrange lattices and resolution of turning points for algebraic meromorphic flat bundles. We also explain their relation with wild harmonic bundles. The author hopes that it would be helpful for access to his work on wild harmonic bundles.
On dense ideals in spaces of analytic functions
One proves the density of an ideal of analytic functions into the closure of analytic functions in a -space, under some geometric conditions on the support of the measure and the zero variety of the ideal.
On derived and integrated sets of basic sets of polynomials of several complex variables.
On D*-extension property of the Hartogs domains.
A complex analytic space is said to have the D*-extension property if and only if any holomorphic map from the punctured disk to the given space extends to a holomorphic map from the whole disk to the same space. A Hartogs domain H over the base X (a complex space) is a subset of X x C where all the fibers over X are disks centered at the origin, possibly of infinite radius. Denote by φ the function giving the logarithm of the reciprocal of the radius of the fibers, so that, when X is pseudoconvex,...
On differential operators attached to certain representations of classical groups.
On direct and inverse images of D-Modules in prime characteristic.
On Dirichlet type spaces on the unit ball of C n
In this paper we discuss characterizations of Dirichlet type spaces on the unit ball of Cn obtained by P. Hu and W. Zhang [2], and S. Li [4].
On distortion of a class of analytic functions under a familly of operators
Consider a family of integral operators and a related family of differential operators, both defined on a class of analytic functions holomorphic in the unit disk, distortion properties of the real part are derived from a general aspect.
On Dolbeault Cohomology and Envelopes of Holomorphy.