Pablo Rocha

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20222026

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math.CA2024

A molecular decomposition for $H^{p} (Z^{n})$

Pablo Rocha

In this work, for the range $\frac{n - 1}{n} < p \leq 1$ , we give a molecular reconstruction theorem for $H^{p} (Z^{n})$ . As an application of this result and the atomic decompos…

math.CA2024

Fractional type operators on the Heisenberg group

Pablo Rocha

Let $ρ (\cdot)$ be the Koranyi norm on the Heisenberg group $H^{n} \equiv (R^{2 n} \times R, \cdot)$ defined by \[ ρ(x,t) = \left( |x|^{4} + 16 t^{2…

math.CA2024

Convolution operators and variable Hardy spaces on the Heisenberg group

Pablo Rocha

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

A molecular decomposition for Hp(Zn)

Fractional type operators on the Heisenberg group

Convolution operators and variable Hardy spaces on the Heisenberg group

A molecular decomposition for $H^{p} (Z^{n})$