Zeitschrift für Analysis und ihre Anwendungen Vol. 18, No. 3, pp. 557568 (1999) 

A Characterization of a TwoWeight Inequality for Discrete TwoDimensional Hardy OperatorsY. RakotondratsimbaInstitut Polytechnique St.Louis, E.P.M.I., 13 bd de l'Hautil, 95$\,$092 CergyPontoise cedex, FranceAbstract: We obtain a characterization of nonnegative double sequences ${\cal V} = ({\cal V}(n_1,n_2))_{n_1,n_2}$ and ${\cal U} = ({\cal U}(n_1,n_2))_{n_1,n_2}$ for which the twodimensional discrete Hardy operator ${\bf H}$ is bounded from $\ell^p({\cal V})$ into $\ell^q({\cal U})$ whenever $1 < p \le q < \infty$. Keywords: inequalities, weights, discrete Hardy operators Classification (MSC2000): 26D15 Full text of the article:
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