Abstract <p> We consider a two-weight multidimensional inequality with a discrete Hardy operator and establish criteria for this inequality to hold provided that one of the weights in the inequality can be represented as a product of one-dimensional sequences. </p>

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Multidimensional Discrete Hardy Inequalities

  • V. D. Stepanov,
  • E. P. Ushakova

摘要

Abstract

We consider a two-weight multidimensional inequality with a discrete Hardy operator and establish criteria for this inequality to hold provided that one of the weights in the inequality can be represented as a product of one-dimensional sequences.