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Lobachevskii Journal of Mathematics, 2006, Volume 22, Pages 47–57
(Mi ljm44)
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On Hardy type inequality with non-isotropic kernels
M. Z. Sarikaya, H. Yildirim Afyon Kocatepe University
Abstract:
In the present paper we establish a Stein–Weiss type generalization of the Hardy type inequality with non-isotropic kernels depending on $\lambda$-distance for the spaces $L_{p(.)}(\Omega)$ with variable exponent $p(x)$ in the case of bounded domains $\Omega$ in $R^n$.
Keywords:
Riesz potential, non-isotropic distance, Hardy inequality, maximal function.
Citation:
M. Z. Sarikaya, H. Yildirim, “On Hardy type inequality with non-isotropic kernels”, Lobachevskii J. Math., 22 (2006), 47–57
Linking options:
https://www.mathnet.ru/eng/ljm44 https://www.mathnet.ru/eng/ljm/v22/p47
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Abstract page: | 398 | Full-text PDF : | 107 | References: | 40 |
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