Browsing by Subject "Hardy type inequalities"

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Hardy type inequalities in higher dimensions with explicit estimate of constants

Avkhadiev F. (2006)

Let Ω be an open set in ℝn such that Ω ≠ ℝn. For 1 ≤ p < ∞, 1 < s < ∞ and δ = dist(x,∂Omega;) we estimate the Hardy constant cp(s, Ω) = sup{||f/δs/p||Lp(Ω): f ∈ C 0 ∞(Ω), ||(▽f)/δ s/p-1||Lp (Ω = 1} and some related quantities. ...
Hardy type L p-inequalities in r-close-to-convex domains

Avkhadiev F. (2015)

© 2015, Allerton Press, Inc. We describe non-convex domains for which the Hardy constants are the same as for convex domains.
Sharp constants in hardy type inequalities

Avkhadiev F. (2015)

© 2015, Allerton Press, Inc. We prove new weighted Hardy type inequalities with sharp constants and describe their applications to inequalities in multidimensional domains.

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