Geodesic
Investigation of generalized Hardy inequality via a~system of nonlinear differential equations in weighted Lebesgue spaces with mixed norm
Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 4, pp. 16-26

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The main goal of this paper is to found a criteria for two dimensional Hardy operator via a system of nonlinear differential equations in weighted Lebesgue spaces with mixed norm. In particular, it is proved that the weight functions that are the coefficients of a system of nonlinear differential equations are included in the estimate of the two-dimensional Hardy operator in this space. 
@article{VMJ_2014_16_4_a2,
     author = {R. A. Bandaliev},
     title = {Investigation of generalized {Hardy} inequality via a~system of nonlinear differential equations in weighted {Lebesgue} spaces with mixed norm},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {16--26},
     publisher = {mathdoc},
     volume = {16},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2014_16_4_a2/}
}
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R. A. Bandaliev. Investigation of generalized Hardy inequality via a~system of nonlinear differential equations in weighted Lebesgue spaces with mixed norm. Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 4, pp. 16-26. http://geodesic.mathdoc.fr/item/VMJ_2014_16_4_a2/