Two-Dimensional Discrete Hardy Inequalities


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Abstract

A sufficient condition on nonnegative double-sequences ν = (ν (n1,n2))n1,n2 and U = (U(n1,n2))n1,n2 is derived in order that the two-dimensional discrete Hardy operator His bounded from ℓP (ν) into ℓq(U) whenever 1 < pq < ∞.

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