Pablo Rocha

activity

20242026

collaborators

3 papers

math.CA2026

A note about the discrete Riesz potential on $Z^{n}$

Pablo Rocha

In this note we prove that the discrete Riesz potential $I_{I^} \pm$ defined on $Z^{n}$ is a bounded operator $H^{p} (Z^{n}) \to ℓ^{q} (Z^{n})$ for $0 < p \leq 1$ and…

math.CA2025

A remark about CalderÃ³n-Hardy spaces with variable exponents

Pablo Rocha

In this note we improve the parameter $q$ that appears in Theorem 1 obtained by the author in [Math. Ineq. \& appl., Vol 19 (3) (2016), 1013-1030].

math.CA2024

Classical discrete operators on variable $ℓ^{p (\cdot)} (Z)$ spaces

Pablo Rocha

We show, by applying discrete weighted norm inequalities and the Rubio de Francia algorithm, that the discrete Hilbert transform and discrete Riesz potential are bounded on variabl…

A note about the discrete Riesz potential on Zn

A remark about CalderÃ³n-Hardy spaces with variable exponents

Classical discrete operators on variable ℓp(⋅)(Z) spaces

A note about the discrete Riesz potential on $Z^{n}$

Classical discrete operators on variable $ℓ^{p (\cdot)} (Z)$ spaces