# A Characterization of a Two-Weight Inequality for Discrete Two-Dimensional Hardy Operators

### Y. Rakotondratsimba

Institut Polytechnique St. Louis, Cergy-Pontoise, France

## Abstract

We obtain a characterization of non-negative double sequences $V = V(n_1, n_2))_{n_1, n_2}$ and $U = (U(n_1 ,n_2))_{n_1,n_2}$ for which the two-dimensional discrete Hardy operator $\mathbb H$ is bounded from $l^p(V)$ into $l^q(U)$ whenever $1 < p ≤ q < \infty$.

## Cite this article

Y. Rakotondratsimba, A Characterization of a Two-Weight Inequality for Discrete Two-Dimensional Hardy Operators. Z. Anal. Anwend. 18 (1999), no. 3, pp. 557–568

DOI 10.4171/ZAA/898