Șerban Costea

activity

20082017

most citedThe Corona Theorem for the Drury-Arveson Hardy space and other holomorphic Besov-Sobolev spaces on the unit ball in

C^{n}

34 citations · 46 across the 5 of their papers we have counts for

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Showing 2008Show all

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math.CV2008★ 34 cited

The Corona Theorem for the Drury-Arveson Hardy space and other holomorphic Besov-Sobolev spaces on the unit ball in $C^{n}$

Serban Costea, Eric T. Sawyer, Brett D. Wick

We prove that the multiplier algebra of the Drury-Arveson Hardy space $H_{n}^{2}$ on the unit ball in $C^{n}$ has no corona in its maximal ideal space, thus generalizing t…

math.AP2008★ 1 cited

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…

math.AP2008

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…

The Corona Theorem for the Drury-Arveson Hardy space and other holomorphic Besov-Sobolev spaces on the unit ball in Cn

Strong A-infinity weights, Besov and Sobolev capacities in metric measure spaces

Conductor inequalities and criteria for Sobolev-Lorentz two-weight inequalities

The Corona Theorem for the Drury-Arveson Hardy space and other holomorphic Besov-Sobolev spaces on the unit ball in $C^{n}$