Alberto Debernardi Pinos

collaborators

2 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.CA2024

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…

Fractional 21​-Laplacian of holomorphic functions via Jacobi polynomials

Weighted norm inequalities for integral transforms with splitting kernels

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