Geodesic
Families of domains with best possible Hardy constant
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2013), pp. 59-63

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We geometrically describe families of non-convex plane and space domains in which the basic Hardy inequality is valid with the constant $1/4$. In our constructions we used some new constants depending on the dimension and determined as roots of Lamb type equations and a constant defined by E. B. Davies.
Keywords: Hardy inequalities, distance function, modules of rings.
Mots-clés : nonconvex domains 
@article{IVM_2013_9_a6,
     author = {F. G. Avkhadiev},
     title = {Families of domains with best possible {Hardy} constant},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {59--63},
     publisher = {mathdoc},
     number = {9},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_9_a6/}
}
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F. G. Avkhadiev. Families of domains with best possible Hardy constant. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2013), pp. 59-63. http://geodesic.mathdoc.fr/item/IVM_2013_9_a6/