6 citations · 29 across the 23 of their papers we have counts for
14 papers · 1 filter
The Levi -core and Property ()
Gian Maria Dall'Ara, Samuele Mongodi, John N. Treuer
We introduce the Grassmannian -core of a distribution of subspaces of the tangent bundle of a smooth manifold. This is a generalization of the concept of the core previously int…
Higher dimensional worm domains
Simone Calamai, Gian Maria Dall'Ara
We show how to construct a class of smooth bounded pseudoconvex domains whose boundary contains a given Stein manifold with strongly pseudoconvex boundary, having a prescribed codi…
Sharp subelliptic estimates in the -Neumann problem via an uncertainty principle
Gian Maria Dall'Ara, Samuele Mongodi
The problem of giving a (CR-)geometric description of the best possible order of a subelliptic estimate at a boundary point in the -Neumann problem is largely open. I…
Remarks on the Levi core
Gian Maria Dall'Ara, Samuele Mongodi
We investigate a few aspects of the notion of Levi core, introduced by the authors in a previous work: a basic finiteness question, the connections with Kohn's algorithm and with C…
An extremality property of Szegő projections on Heisenberg groups
Gian Maria Dall'Ara, Bernhard Lamel
We prove that Heisenberg groups, a.k.a. the boundaries of Siegel domains, minimize the operator norm of the Szegő projection in a large class of weighted CR manifolds of hype…
Worm domains are not Gromov hyperbolic
Leandro Arosio, Gian Maria Dall'Ara, Matteo Fiacchi
We show that Worm domains are not Gromov hyperbolic with respect to the Kobayashi distance.
Nonabelian ramified coverings and -boundedness of Bergman projections in
Gian Maria Dall'Ara, Alessandro Monguzzi
In this work we explore the theme of -boundedness of Bergman projections of domains that can be covered, in the sense of ramified coverings, by "nice" domains (e.g. strictly p…
An upper bound for the first positive eigenvalue of the Kohn Laplacian on Reinhardt real hypersurfaces
Gian Maria Dall'Ara, Duong Ngoc Son
A real hypersurface in is said to be Reinhardt if it is invariant under the standard -action on . Its CR geometry can be described in ter…
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…
Around (un)boundedness of Bergman and Szegö projections
Gian Maria Dall'Ara
We consider the problem of (un)boundedness for a wide class of orthogonal projections, including Bergman projections on domains in complex manifolds and Szegö projections on…
On noncompactness of the -Neumann problem on pseudoconvex domains in
Gian Maria Dall'Ara
In this paper we deal with the following question: is it true that any bounded smooth pseudoconvex domain in whose boundary contains a -dimensional complex manifo…
Coercivity of weighted Kohn Laplacians: the case of model monomial weights in
Gian Maria Dall'Ara
The weighted Kohn Laplacian is a natural second order elliptic operator associated to a weight and acting on -forms, which pla…
Pointwise estimates of weighted Bergman kernels in several complex variables
Gian Maria Dall'Ara
We prove new pointwise bounds for weighted Bergman kernels in , whenever a coercivity condition is satisfied by the associated weighted Kohn Laplacian on -form…
Matrix Schrödinger Operators and Weighted Bergman Kernels
Gian Maria Dall'Ara
The aim of the present thesis is twofold: to study the problem of discreteness of the spectrum of Schrödinger operators with matrix-valued potentials in (Chapter 1)…