Pablo Rocha

collaborators

8 papers

math.FA2026

A note on variable (Hardy-)Lorentz spaces

Pablo Rocha

The purpose of this note is to establish further properties of the variable Lorentz spaces $L^{p (\cdot), q (\cdot)} (R^{n})$ introduced by L. Ephremidze, V. Kokilas…

math.CA2026

CalderÃ³n-Hardy type spaces and the Heisenberg sub-Laplacian

Pablo Rocha

For $0 < p \leq 1 < q < \infty$ and $I^^{3} > 0$ , we introduce the CalderÃ³n-Hardy spaces $H_{q, I^^{3}}^{p} (H^{n})$ on the Heisenberg group $H^{n}$ , and show fo…

math.CA2026

The $H^{p} (Z^{n}) - H^{q} (Z^{n})$ boundedness of the discrete Riesz potential

Pablo Rocha

In [J. Class. Anal., vol. 26 (1) (2025), 63-76], we proved that the discrete Riesz potential $I_{I^} \pm$ is a bounded operator $H^{p} (Z^{n}) \to H^{q} (Z^{n})$ for $\frac{n-1}{…

math.CA2025

Variable CalderÃ³n-Hardy spaces on the Heisenberg group

Pablo Rocha

Let $H^{n}$ be the Heisenberg group and $Q = 2 n + 2$ . For $1 < q < \infty$ , $I^^{3} > 0$ and an exponent function $p (\cdot)$ on $H^{n}$ , which satisfy log-HÃ¶lder conditio…

math.FA2025

Estimates for convolution operators on Hardy spaces associated with ball quasi-Banach function spaces

Pablo Rocha

Let $0 \leq I^\pm < n$ , $N \in N$ , and let $X$ and $Y$ be ball quasi-Banach function spaces on $R^{n}$ . We consider operators $T_{I^} \pm$ defined by convolution with kernels…

math.CA2025

Convolution operators and variable Hardy spaces on the Heisenberg group

Pablo Rocha

Let $H^{n}$ be the Heisenberg group. For $0 \leq I^\pm < Q = 2 n + 2$ and $N \in N$ we consider exponent functions $p (\cdot) : H^{n} \to (0, + \infty)$ , which sati…

A note on variable (Hardy-)Lorentz spaces

CalderÃ³n-Hardy type spaces and the Heisenberg sub-Laplacian

The Hp(Zn)−Hq(Zn) boundedness of the discrete Riesz potential

Variable CalderÃ³n-Hardy spaces on the Heisenberg group

Estimates for convolution operators on Hardy spaces associated with ball quasi-Banach function spaces

Convolution operators and variable Hardy spaces on the Heisenberg group

The $H^{p} (Z^{n}) - H^{q} (Z^{n})$ boundedness of the discrete Riesz potential