3 papers
math.AP2026
Leray-Trudinger Type Exponential Integrability in Log-Weighted Sobolev Spaces
Adimurthi, Sourav Ghosh, Arka Mallick
In this article, we conduct a comprehensive study of weighted Sobolev spaces with logarithmic weights, orginially introduced by Calanchi and Ruf to analyze the sharp exponential in…
math.AP2025
Fractional Hardy inequality with singularity on submanifold
Adimurthi, Prosenjit Roy, Vivek Sahu
We establish fractional Hardy inequality on bounded domains in with inverse of distance function from smooth boundary of codimension , where , as…
math.AP2024
The Trudinger type inequality in fractional boundary Hardy inequality
Adimurthi, Prosenjit Roy, Vivek Sahu
We establish Trudinger-type inequality in the context of fractional boundary Hardy-type inequality for the case , where on a bounded Lipschitz domain $Ω…