Nijjwal Karak

collaborators

3 papers

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…

math.FA2014

Capacities and Hausdorff measures on metric spaces

Nijjwal Karak, Pekka Koskela

In this article, we show that in a $Q$ -doubling space $(X, d, μ),$ $Q > 1,$ that supports a $Q$ -Poincaré inequality and satisfies a chain condition, sets of $Q$ -capacity zero have gene…

math.FA2014

Removable sets for Orlicz-Sobolev spaces

Nijjwal Karak

We study removable sets for the Orlicz-Sobolev space $W^{1, Ψ},$ for functions of the form $Ψ (t) = t^{p} lo g^{λ} (e + t) .$ We show that $(p, λ)$ -porous sets lying in a hyperplane are removabl…