Geodesic
Sharp conformally invariant Hardy-type inequalities with remainders
Eurasian mathematical journal, Tome 12 (2021) no. 3, pp. 46-56.

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In the present paper we establish new Hardy-Maz'ya-type inequalities with remainders for all continuously differentiable functions with compact support in the half space $\mathbb{R}_+^n$. The weight functions depend on the distance to the boundary or on the distance to the origin. Also new sharp Avkhadiev-Hardy-type inequalities involving the distance to the boundary or the hyperbolic radius are proved. We consider Avkhadiev-Hardy-type inequalities in simply and doubly connected plain domains and in tube-domains. 
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R. G. Nasibullin. Sharp conformally invariant Hardy-type inequalities with remainders. Eurasian mathematical journal, Tome 12 (2021) no. 3, pp. 46-56. http://geodesic.mathdoc.fr/item/EMJ_2021_12_3_a5/

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