G. Dall’Ara

activity

20132026

most citedAn optimal multiplier theorem for Grushin operators in the plane, I

6 citations · 29 across the 23 of their papers we have counts for

collaborators

Showing 2021Show all

5 papers · 1 filter

math.CV2021★ 2 cited

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 $C^{2}$ is said to be Reinhardt if it is invariant under the standard $T^{2}$ -action on $C^{2}$ . Its CR geometry can be described in ter…

math.CA2021★ 5 cited

An optimal multiplier theorem for Grushin operators in the plane, II

Gian Maria Dall'Ara, Alessio Martini

In a previous work we proved a spectral multiplier theorem of Mihlin--Hörmander type for two-dimensional Grushin operators $- \partial_{x}^{2} - V (x) \partial_{y}^{2}$ , where $V$ is a doubl…

math.CV2021

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…

math.AP2021★ 6 cited

An optimal multiplier theorem for Grushin operators in the plane, I

Gian Maria Dall'Ara, Alessio Martini

Let $L = - \partial_{x}^{2} - V (x) \partial_{y}^{2}$ be the Grushin operator on $R^{2}$ with coefficient $V : R \to [0, \infty)$ . Under the sole assumptions that $V…

math.CV2021

Around $L^{1}$ (un)boundedness of Bergman and Szegö projections

Gian Maria Dall'Ara

We consider the problem of $L^{1}$ (un)boundedness for a wide class of orthogonal projections, including Bergman projections on domains in complex manifolds and Szegö projections on…