34 citations · 46 across the 5 of their papers we have counts for
7 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…
Newtonian Lorentz Metric Spaces
Serban Costea, Michele Miranda
This paper studies Newtonian Sobolev-Lorentz spaces. We prove that these spaces are Banach. We also study the global p,q-capacity and the p,q-modulus of families of rectifiable cur…
BMO Estimates for the Corona Problem
Serban Costea, Eric T. Sawyer, Brett D. Wick
We study the Corona problem and show it is always possible to find solutions that belong to for…
The Corona Theorem for the Drury-Arveson Hardy space and other holomorphic Besov-Sobolev spaces on the unit ball in
Serban Costea, Eric T. Sawyer, Brett D. Wick
We prove that the multiplier algebra of the Drury-Arveson Hardy space on the unit ball in has no corona in its maximal ideal space, thus generalizing t…
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…