Martino Fassina

activity

20142026

\partial ˉ

on product domains in

C^{n}

6 citations · 12 across the 10 of their papers we have counts for

collaborators

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8 papers · 1 filter

math.CV2026

Constructing bounded pseudoconvex domains of finite D'Angelo type with prescribed weak loci

Martino Fassina, Yifei Pan, Yuan Zhang

We construct smoothly bounded pseudoconvex or convex domains in $C^{n}$ whose weakly pseudoconvex loci realize prescribed closed sets.

math.CV2020★ 1 cited

Algorithms for subelliptic multipliers in $C^{2}$

Martino Fassina

We give examples of pseudoconvex domains of finite type in $C^{2}$ where the Kohn algorithm for subelliptic estimates fails to yield an effective lower bound for the order o…

math.CV2019★ 6 cited

Supnorm estimates for $\partial ˉ$ on product domains in $C^{n}$

Martino Fassina, Yifei Pan

Let $Ω \subset C^{n}$ be a product of one-dimensional open bounded domains with $C^{1, α}$ boundary, where $0 < α < 1$ . Using methods from complex analysis in one variable, we cons…

math.CV2018

An extension theorem for regular functions of two quaternionic variables

Luca Baracco, Martino Fassina, Stefano Pinton

For functions of two quaternionic variables that are regular in the sense of Fueter, we establish a result similar in spirit to the Hanges and Trèves theorem. Namely, we show that…

math.CV2018★ 4 cited

On the Ekeland-Hofer symplectic capacities of the real bidisc

Luca Baracco, Martino Fassina, Stefano Pinton

In $C^{2}$ with the standard symplectic structure we consider the bidisc $D^{2} \times D^{2}$ constructed as the product of two open real discs of radius $1$ . We compute explicit…

math.CV2018

A remark on two notions of order of contact

Martino Fassina

We recall two measurements of the order of contact of an ideal in the ring of germs of holomorphic functions at a point and we provide a class of examples in which they differ.

math.CV2014

Regularity of the $\partial ˉ$ -Neumann problem by means of superlogarithmic multipliers

Martino Fassina

This thesis starts from a review on current research on the local hypoellipticity of the $\partial ˉ$ -Neumann problem. It presents the classical method of regularity from estimat…

math.CV2014

The Kohn-Hörmander-Morrey formula twisted by a pseudodifferential operator

Luca Baracco, Martino Fassina, Stefano Pinton

We establish a general, weighted Kohn-Hörmander-Morrey formula twisted by a pseudodifferential operator. As an application, we exhibit a new class of domains for which the $\bar\pa…

Constructing bounded pseudoconvex domains of finite D'Angelo type with prescribed weak loci

Algorithms for subelliptic multipliers in C2

Supnorm estimates for ∂ˉ on product domains in Cn

An extension theorem for regular functions of two quaternionic variables

On the Ekeland-Hofer symplectic capacities of the real bidisc

A remark on two notions of order of contact

Regularity of the ∂ˉ-Neumann problem by means of superlogarithmic multipliers

The Kohn-Hörmander-Morrey formula twisted by a pseudodifferential operator

Algorithms for subelliptic multipliers in $C^{2}$

Supnorm estimates for $\partial ˉ$ on product domains in $C^{n}$

Regularity of the $\partial ˉ$ -Neumann problem by means of superlogarithmic multipliers