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Sourav Ghosh

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Preprint Oct 2026

On improved Hardy-type inequalities in Log-Weighted Sobolev Spaces

We prove sharp Hardy-type inequalities in Log-weighted Sobolev spaces. Due to the non-attainability of the sharp constant, we improve these inequalities by adding suitable remainder terms consisting of optimal weights and sharp constants. Consequently, this gives an infinite series improvement in Log-weighted Sobolev s...

Sourav Ghosh · 0 citations