40 citations · 58 across the 26 of their papers we have counts for
13 papers · 1 filter
The pluricomplex Poisson kernel for strongly pseudoconvex domains
Filippo Bracci, Alberto Saracco, Stefano Trapani
In this paper we introduce, via a Phragmen-Lindelöf type theorem, a maximal plurisubharmonic function in a strongly pseudoconvex domain. We call such a function the {\sl pluricompl…
Discrete sequences in unbounded domains
Alberto Saracco
Discrete sequences with respect to the Kobayashi distance in a strongly pseudoconvex bounded domain are related to Carleson measures by a formula that uses the Euclidean distan…
Carleson measures for Hardy and Bergman spaces in the quaternionic unit ball
Irene Sabadini, Alberto Saracco
We study a characterization of slice Carleson measures and of Carleson measures for the both the Hardy spaces and the Bergman spaces of t…
Non compact boundaries of complex analytic varieties in Hilbert spaces
Samuele Mongodi, Alberto Saracco
We treat the boundary problem for complex varieties with isolated singularities, of complex dimension greater than or equal to 3, non necessarily compact, which are contained in st…
Toeplitz operators and Carleson measures in strongly pseudoconvex domains
Marco Abate, Jasmin Raissy, Alberto Saracco
We study mapping properties of Toeplitz operators associated to a finite positive Borel measure on a bounded strongly pseudoconvex domain D in n complex variables. In particular, w…
Convexity properties and complete hyperbolicity of Lempert's elliptic tubes
Daniele Alessandrini, Alberto Saracco
We prove that elliptic tubes over properly convex domains of the real projective space are C-convex and complete Kobayashi-hyperbolic. We also study a natural construction of compl…