Weighted inequality of Hardy type

2016

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DOI 10.1063/1.4959703
Data confidence 70 medium
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Abstract

This paper has the necessary and additional conditions on weight functions for a weighted inequality of Hardy type to hold or the corresponding estimate for the norm of the embedding operator. The continuity and compactness of the embedding of weighted spaces are established. The criterion of embedding compactness is provided. We present some fundamental lemmas used in the proof of main theorems.