Abstract:
In the present work we obtain variational Hardy type inequalities with power and logarithmic weights which are generalizations of the corresponding inequalities given earlier in the papers by M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof, A. Laptev, and J. Tidblom.
We formulate and prove inequalities for arbitrary domains, and then we substantially simplify them for the class of convex domains and a special family of non-convex domains.
Keywords:
Hardy type inequalities, convex domains, regular domains, distance function, iteration of logarithms.
Citation:
R. G. Nasibullin, A. M. Tukhvatullina, “Hardy type inequalities with logarithmic and power weights for a special family of non-convex domains”, Ufa Math. J., 5:2 (2013), 43–55
\Bibitem{NasTuk13}
\by R.~G.~Nasibullin, A.~M.~Tukhvatullina
\paper Hardy type inequalities with logarithmic and power weights for a special family of non-convex domains
\jour Ufa Math. J.
\yr 2013
\vol 5
\issue 2
\pages 43--55
\mathnet{http://mi.mathnet.ru/eng/ufa197}
\crossref{https://doi.org/10.13108/2013-5-2-43}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3430775}
\elib{https://elibrary.ru/item.asp?id=19063035}
Linking options:
https://www.mathnet.ru/eng/ufa197
https://doi.org/10.13108/2013-5-2-43
https://www.mathnet.ru/eng/ufa/v5/i2/p43
This publication is cited in the following 7 articles:
Citation in format AMSBIB
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