6 citations · 12 across the 10 of their papers we have counts for
13 papers
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 whose weakly pseudoconvex loci realize prescribed closed sets.
Two-parameter Identities for Divisor Sums in Algebraic Number Fields
Bruce C. Berndt, Martino Fassina, Sun Kim +1
In a one-page fragment published with his lost notebook, Ramanujan stated two double series identities associated, respectively, with the famous Gauss Circle and Dirichlet Divisor…
Balanced Derivatives, Identities, and Bounds for Trigonometric and Bessel Series
Bruce C. Berndt, Martino Fassina, Sun Kim +1
Motivated by two identities published with Ramanujan's lost notebook and connected, respectively, with the Gauss circle problem and the Dirichlet divisor problem, in an earlier pap…
A remark on optimal data spaces for classical solutions of
Martino Fassina, Yifei Pan, Yuan Zhang
We study the minimal regularity required on the datum to guarantee the existence of classical solutions to the inhomogeneous Cauchy-Riemann equations on planar domains.
The distribution of spacings between the fractional parts of
Martino Fassina, Sun Kim, Alexandru Zaharescu
We study the distribution of spacings between the fractional parts of . For of high enough Diophantine type we prove a necessary and sufficient condition for $n^dα\mod 1,…
Algorithms for subelliptic multipliers in
Martino Fassina
We give examples of pseudoconvex domains of finite type in where the Kohn algorithm for subelliptic estimates fails to yield an effective lower bound for the order o…
Supnorm estimates for on product domains in
Martino Fassina, Yifei Pan
Let be a product of one-dimensional open bounded domains with boundary, where . Using methods from complex analysis in one variable, we cons…
Non-solvability in the flat category of elliptic operators with real analytic coefficients
Martino Fassina, Yifei Pan
Let , be an open set. For an elliptic differential operator on with real analytic coefficients and a point , we construct a smooth fun…
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…
On the Ekeland-Hofer symplectic capacities of the real bidisc
Luca Baracco, Martino Fassina, Stefano Pinton
In with the standard symplectic structure we consider the bidisc constructed as the product of two open real discs of radius . We compute explicit…
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.
Regularity of the -Neumann problem by means of superlogarithmic multipliers
Martino Fassina
This thesis starts from a review on current research on the local hypoellipticity of the -Neumann problem. It presents the classical method of regularity from estimat…
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…