Alberto Debernardi Pinos

collaborators

4 papers

math.FA2026

Fractional $\frac{1}{2}$ -Laplacian of holomorphic functions via Jacobi polynomials

Fabrizio Colombo, Antonino De Martino, Alberto Debernardi Pinos

We give a distributional definition of the $\frac{1}{2}$ -fractional Laplacian for smooth functions with power-type singularities at the origin, including negative monomials and cer…

math.CA2023

Weighted norm inequalities for integral transforms with splitting kernels

Alberto Debernardi Pinos

We obtain necessary and sufficient conditions on weights for a wide class of integral transforms to be bounded between weighted $L^{p} - L^{q}$ spaces, with $1 \leq p \leq q \leq \infty$ . T…

math.CA2023

Fourier inequalities in Morrey and Campanato spaces

Alberto Debernardi Pinos, Erlan Nursultanov, Sergey Tikhonov

We study norm inequalities for the Fourier transform, namely, \begin{equation}\label{introduction} \|\widehat f\|_{X_{p,q}^λ} \lesssim \|f\|_{Y}, \end{equation} where $X$ is either…

math.CA2023

Nuclearity and Grothendieck-Lidskii formula for quaternionic operators

Paula Cerejeiras, Fabrizio Colombo, Alberto Debernardi Pinos +2

We introduce an appropriate notion of trace in the setting of quaternionic linear operators, arising from the well-known companion matrices. We then use this notion to define the q…

Fractional 21​-Laplacian of holomorphic functions via Jacobi polynomials

Weighted norm inequalities for integral transforms with splitting kernels

Fourier inequalities in Morrey and Campanato spaces

Nuclearity and Grothendieck-Lidskii formula for quaternionic operators

Fractional $\frac{1}{2}$ -Laplacian of holomorphic functions via Jacobi polynomials