Nijjwal Karak

activity

20142026

most citedLebesgue points via the Poincaré inequality

5 citations · 6 across the 12 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

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★ 5 cited

Lebesgue points via the Poincaré inequality

Nijjwal Karak, Pekka Koskela

In this article, we show that in a $Q$ -doubling space $(X, d, μ),$ $Q > 1,$ which satisfies a chain condition, if we have a $Q$ -Poincaré inequality for a pair of functions $(u, g)$ wher…

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…