2 citations · 4 across the 10 of their papers we have counts for
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The core of the Levi distribution
Gian Maria Dall'Ara, Samuele Mongodi
We introduce a new geometrical invariant of CR manifolds of hypersurface type, which we dub the "Levi core" of the manifold. When the manifold is the boundary of a smooth bounded p…
On minimal kernels and Levi currents on weakly complete complex manifolds
Fabrizio Bianchi, Samuele Mongodi
A complex manifold is \emph{weakly complete} if it admits a continuous plurisubharmonic exhaustion function . The minimal kernels (the loci where a…
Toeplitz Operators and Skew Carleson measures for weighted Bergman spaces on strongly pseudoconvex domains
Marco Abate, Samuele Mongodi, Jasmin Raissy
In this paper we study mapping properties of Toeplitz-like operators on weighted Bergman spaces of bounded strongly pseudconvex domains in . In particular we prove th…
Minimal kernels and compact analytic objects in complex surfaces
Samuele Mongodi, Giuseppe Tomassini
In this paper, we want to study the link between the presence of compact objects with some analytic structure and the global geometry of a weakly complete surface. We begin with a…
Domains with a continuous exhaustion in weakly complete surfaces
Samuele Mongodi, Zbigniew Slodkowski
In previous works, G. Tomassini and the authors studied and classified complex surfaces admitting a real-analytic pluri-subharmonic exhaustion function; let be such a surface a…
Union of holomorphically convex spaces
Samuele Mongodi
In this short note, we collect some results regarding the Remmert reduction of holomorphically convex space and its application to a variation of the usual union problem. Classical…