Pablo Rocha

activity

20242026

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8 papers · 1 filter

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.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…

math.CA2025

Estimates for Riesz potential on weighted variable Hardy spaces revisited

Pablo Rocha

In [Math. Ineq. \& appl., Vol 26 (2) (2023), 511-530] and [Period. Math. Hung., 89 (1) (2024), 116-128], the present author proved that the Riesz potential $I_{I^} \pm$ extends to a boun…

math.CA2025

Fractional series operators on $Z^{n}$

Pablo Rocha

For $0 \leq I^\pm < n$ and $m \in N \cap (1 - \frac{I ^}{\pm} n, \infty)$ , we introduce a class of fractional series operators $T_{I^\pm, m}$ defined on $Z^{n}$ which are gene…

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

Convolution operators and variable Hardy spaces on the Heisenberg group

Estimates for Riesz potential on weighted variable Hardy spaces revisited

Fractional series operators on Zn

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

Fractional series operators on $Z^{n}$