2 papers
math.FA2025
Capacity and Hausdorff measure in Musielak-Orlicz-Sobolev spaces
Ankur Pandey, Nijjwal Karak, Debarati Mondal
In this paper, we show that sets with zero Sobolev -capacity have generalized Hausdorff -measure zero, for some gauge function We also prove that se…
math.FA2024
Capacity in Besov and Triebel-Lizorkin spaces with generalized smoothness
Nijjwal Karak, Debarati Mondal
We prove a lower bound estimate for capacities in Hajlasz-Besov, Hajlasz-Triebel-Lizorkin and Hajlasz-Sobolev spaces with generalized smoothness defined on metric spaces in terms o…