Shahaboddin Shaabani

collaborators

4 papers

math.FA2026

Notes on Bi-parameter Paraproducts

Shahaboddin Shaabani

In this note, we investigate the sharpness of existing bounds for various types of bi-parameter paraproducts acting between product Hardy spaces in the dyadic setting. We show that…

math.FA2026

The Operator Norm of Paraproducts on Hardy Spaces

Shahaboddin Shaabani

For a tempered distribution $g$ , and $0 < p, q, r < \infty$ with $\frac{1}{q} = \frac{1}{p} + \frac{1}{r}$ , we show that the operator norm of a Fourier paraproduct $I^_{g}$ , of the f…

math.FA2025

The Operator Norm of Paraproducts on Bi-parameter Hardy spaces

Shahaboddin Shaabani

It is shown that for $0 < p, q, r < \infty$ , with $\frac{1}{q} = \frac{1}{p} + \frac{1}{r}$ , the operator norm of the dyadic paraproduct of the form \[ Ï_g(f) := \sum_{R \in \mathcal{D}…

math.FA2025

A view from above on $JN_{p} (R^{n})$

Shahaboddin Shaabani

For a symmetric convex body $K \subset R^{n}$ and $1 \leq p < \infty$ , we define the space $S^{p} (K)$ to be the tent generalization of $JN_{p} (R^{n})$ , i.e., the space o…

Notes on Bi-parameter Paraproducts

The Operator Norm of Paraproducts on Hardy Spaces

The Operator Norm of Paraproducts on Bi-parameter Hardy spaces

A view from above on JNp​(Rn)

A view from above on $JN_{p} (R^{n})$