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20112026
most citedHardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces

15 citations · 32 across the 18 of their papers we have counts for

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math.AP2020★ 15 cited

Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces

Kaushik Bal, Kaushik Mohanta, Prosenjit Roy +1

We provide sufficient conditions for boundary Hardy inequality to hold in bounded Lipschitz domains, complement of a point (the so-called point Hardy inequality), domain above the…

math.AP2020★ 8 cited

Bourgain-Brezis-Mironescu Domains

Kaushik Bal, Kaushik Mohanta, Prosenjit Roy

Bourgain et al.(2001) proved that for and smooth bounded domain , \begin{equation*} \lim\limits_{s\to1}(1-s)\iint \limits_{Ω\times Ω}\frac{\lvert f(x)…