Geodesic
The Hardy inequality with boundary or intermediate conditions
Eurasian mathematical journal, Tome 8 (2017) no. 2, pp. 105-109.

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In the paper a survey is given of the necessary and sufficient conditions which guarantee the validity of Hardy inequality (1.1) for various classes of functions. 
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A. Kufner. The Hardy inequality with boundary or intermediate conditions. Eurasian mathematical journal, Tome 8 (2017) no. 2, pp. 105-109. http://geodesic.mathdoc.fr/item/EMJ_2017_8_2_a7/

[1] A. Kufner, L.-E. Persson, Weighted inequalities of Hardy type, World Scientific, New Jersey–London–Singapore–Hong Kong, 2003 | MR | Zbl

[2] A. Kufner, L.-E. Persson, N. Samko, “Some non scales of weighted Hardy type inequalities”, Oper. Theory Adv. Appl., 228, Birkhäuser, Basel AG, 2013, 261–274 | MR | Zbl

[3] Z. W. Liao, Discrete weighted Hardy inequalities with different kinds of boundary conditions, 19 Aug 2015, 24 pp., arXiv: 1508.04601v1 [math.FA] | MR

[4] B. Opic, A. Kufner, Hardy-type inequalities, Longman, Harlow, 1990 | MR | Zbl