Geodesic
Hardy-type inequalities with power and logarithmic weights in domains of the Euclidean space
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2011), pp. 90-94

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We consider Hardy-type inequalities in domains of the Euclidean space for the case, when the weight depends on the distance function to the domain boundary and has power and logarithmic singularities. We prove several new inequalities with sharp constants.
Keywords: Hardy-type inequalities, distance function to the boundary, iterations of logarithms. 
@article{IVM_2011_9_a8,
     author = {F. G. Avkhadiev and R. G. Nasibullin and I. K. Shafigullin},
     title = {Hardy-type inequalities with power and logarithmic weights in domains of the {Euclidean} space},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {90--94},
     publisher = {mathdoc},
     number = {9},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_9_a8/}
}
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F. G. Avkhadiev; R. G. Nasibullin; I. K. Shafigullin. Hardy-type inequalities with power and logarithmic weights in domains of the Euclidean space. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2011), pp. 90-94. http://geodesic.mathdoc.fr/item/IVM_2011_9_a8/