It was proved that a Stein space that admits a bounded plurisubharmonic exhaustion, not necessarily continuous, is hyperconvex.

It was given an example of a bounded Stein domain in, the n-dimensional affine complex space with smooth boundary, which is not Runge and whose intersection with every complex line is simply connected.

It was solved the Levi problem for unbranched Riemann domains over Stein spaces with isolated singularities.

Based on the concept of mass transportation, it was introduced and studied a notion of rough curvature bound for the Ricci curvature on discrete metric spaces.

It was proved that the Laplace transform establishes a bijection between a class of resolvents and a class of semi-groups acting on an abstract ordered convex cone.

It was computed the resolvent of a semi-group of positive, nonlinear operators acting on measures. It has been shown that this resolvent has a natural extension to a larger set of measures (not necessarily positive), it was given a characterization for this type of resolvent in terms of the infinitesimal generator, there were described the invariant and excessive elements with respect to the resolvent/the sub-group.

We extended in the one- and multi-dimensional case some results from the relaxed variational calculus which are based on L1-boundedness conditions for minimizing sequences.

There were obtained sufficient conditions for a transformation f(z,t) to be an alpha-prestarlike subordination chain on (0,1], extending in this way a result of S. Ruscheweyh.

We studied the notion of convex subordination chain for transformations of several complex variables.

We extended and generalized classical results in the theory of differential subordination and superordination.

We studied the properties of two integral operators on the classes of functions M(beta) and N(beta).

We extended the maximum principle to a class non-analytic functions defined on the unit disc in the complex plane.

We obtained a Schwarz Lemma for a class non-analytic functions defined on the unit disc in the complex plane.

Using the differential subordination method we derived several properties of some differential subordinations which were obtained using certain generalized differential operators

- Mathematische Annalen, 336, no. 3, November 2006

- Mathematische Annalen, 337, no. 2, February 2007

- to appear in Mathematische Annalen

- Positivity, Volume 10, Number 3, September, 2006,

- AIP Conf. Proc. 835 (2006),

- to appear in Proceedings of the International Conference on Applied Analysis and Differential Equations, Iasi 4 - 9 sept. 2006.

- to appear in J. Math. Anal. Appl.

- to appear in Mathematica (Cluj)

- to appear in Mathematica (Cluj)

- to appear in Rev. Roumaine Math. Pures Appl