Pablo Rocha

activity

20222026

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6 papers · 1 filter

math.FA2025

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

Pablo Rocha

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

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 $I_{α}$ extends to a bound…

math.CA2025

Fractional series operators on $Z^{n}$

Pablo Rocha

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

math.CA2025

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 $I_{α}$ is a bounded operator $H^{p} (Z^{n}) \to H^{q} (Z^{n})$ for $\frac{n-1}{n…

math.CA2025

Variable Calderón-Hardy spaces on the Heisenberg group

Pablo Rocha

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

math.CA2025

Calderón-Hardy type spaces and the Heisenberg sub-Laplacian

Pablo Rocha

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

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

Estimates for Riesz potential on weighted variable Hardy spaces revisited

Fractional series operators on Zn

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

Variable Calderón-Hardy spaces on the Heisenberg group

Calderón-Hardy type spaces and the Heisenberg sub-Laplacian

Fractional series operators on $Z^{n}$

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