Geodesic
Hardy Inequalities with Mixed Norms
Canadian mathematical bulletin, Tome 21 (1978) no. 4, pp. 405-408

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DOI

We give a necessary and sufficient condition on weight functions u and v such that for l≤p≤q≤∞ there exists a constant C for which A corresponding dual result is also given. This extends a result of B. Muckenhoupt which appeared in Studia Math., 34 (1972). 
Bradley, J. Scott. Hardy Inequalities with Mixed Norms. Canadian mathematical bulletin, Tome 21 (1978) no. 4, pp. 405-408. doi: 10.4153/CMB-1978-071-7
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     author = {Bradley, J. Scott},
     title = {Hardy {Inequalities} with {Mixed} {Norms}},
     journal = {Canadian mathematical bulletin},
     pages = {405--408},
     year = {1978},
     volume = {21},
     number = {4},
     doi = {10.4153/CMB-1978-071-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-071-7/}
}
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