1 citations · 1 across the 2 of their papers we have counts for
4 papers
Sobolev-Lorentz capacity and its regularity in the Euclidean setting
Serban Costea
This paper studies the Sobolev-Lorentz capacity and its regularity in the Euclidean setting for integer. We extend here our previous results on the Sobolev-Lorentz capaci…
Sobolev-Lorentz spaces in the Euclidean setting and counterexamples
Serban Costea
This paper studies the inclusions between different Sobolev-Lorentz spaces defined on open sets where is an integer, $1<p<\inf…
Strong A-infinity weights, Besov and Sobolev capacities in metric measure spaces
Serban Costea
This article studies strong A-infinity weights in Ahlfors Q-regular and geodesic metric spaces satisfying a weak (1,s)-Poincare inequality for some 1<s<=Q, where Q is finite. It is…
Conductor inequalities and criteria for Sobolev-Lorentz two-weight inequalities
Serban Costea, Vladimir Maz'ya
In this paper we present integral conductor inequalities connecting the Lorentz p,q-(quasi)norm of a gradient of a function to a one-dimensional integral of the p,q-capacitance of…