80 citations · 189 across the 17 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)…
math.AP2020★ 3 cited
Fractional Poincaré Inequality for Unbounded Domains with Finite Ball Condition: Counter Example
Indranil Chowdhury, Prosenjit Roy
In this paper we investigate the fractional Poincaré inequality on unbounded domains. In the local case, Sandeep-Mancini showed that in the class of simply connected domains, Poinc…