Wael Abu-Shammala

most citedThe Hardy-Lorentz Spaces

H^{p, q} (R^{n})

6 citations · 8 across the 3 of their papers we have counts for

collaborators

3 papers

math.CA2007★ 6 cited

The Hardy-Lorentz Spaces $H^{p, q} (R^{n})$

Wael Abu-Shammala, Alberto Torchinsky

In this paper we consider the Hardy-Lorentz spaces $H^{p, q} (R^{n})$ , with $0 < p \leq 1$ , $0 < q \leq \infty$ . We discuss the atomic decomposition of the elements in these spaces, their inte…

math.CA2007

From dyadic $Λ_{α}$ to $Λ_{α}$

Wael Abu-Shammala, Alberto Torchinsky

In this paper we show how to compute the $Λ_{α}$ norm, $α \geq 0$ , using the dyadic grid. This result is a consequence of the description of the Hardy spaces $H^{p} (R^{N})$ in terms of dya…

math.FA2005★ 2 cited

Characterizations of the Hardy Space $H^{1}$ and BMO

Wael Abu-Shammala, Ji-Liang Shiu, Alberto Torchinsky

We describe the spaces $H^{1} (R)$ and BMO $(R)$ in terms of their closely related, simpler dyadic and two-sided counterparts. As a result of these characterizations we establish when…

The Hardy-Lorentz Spaces Hp,q(Rn)

From dyadic Λα​ to Λα​

Characterizations of the Hardy Space H1 and BMO

The Hardy-Lorentz Spaces $H^{p, q} (R^{n})$

From dyadic $Λ_{α}$ to $Λ_{α}$

Characterizations of the Hardy Space $H^{1}$ and BMO