In this note we review a recent result in [17] in collaboration with N. Garofalo, where we establish global versions of Hardy-Littlewood-Sobolev inequalities attached to hypoelliptic equations of Kolmogorov type. The relevant Sobolev spaces are defined through the fractional powers of the operator under consideration. We outline the main steps of the semigroup approach we adopt
We prove some Liouville theorems for systems of integral equations and inequalities related to weigh...
We consider a class of possibly degenerate second order elliptic operators A on R^n. This class incl...
34 pages; The title and document style have been changed, to appear in Integral Equations and Operat...
In this note we review a recent result in [17] in collaboration with N. Garofalo, where we establish...
We consider a class of second-order partial differential operators A of Hörmander type, which contai...
Abstract. Hardy–Sobolev–type inequalities associated with the operator L:= x · ∇ are established, u...
The purpose of this text is twofold. We present a review of the existing stability results for Sobol...
We show that Hypoelliptic Kolmogorov equations are invariant with respect to a suitable Lie group st...
In this paper we show different inequalities for fractional order differential operators. In particu...
This paper is devoted to improvements of Sobolev and Onofri inequalities. The additional terms invol...
We provide a family of global weighted Sobolev inequalities and Hardy inequalities on PI spaces with...
This paper is a survey of the results obtained by the author in 1996-2004 and connected with extrapo...
This work focuses on an improved fractional Sobolev inequality with a remainder term involving the \...
The paper studies quasilinear elliptic problems in the Sobolev spaces W 1,p (Ω), Ω⊂R...
In this article, we study the L p -properties of powers of positive Rockland operators and de ne Sob...
We prove some Liouville theorems for systems of integral equations and inequalities related to weigh...
We consider a class of possibly degenerate second order elliptic operators A on R^n. This class incl...
34 pages; The title and document style have been changed, to appear in Integral Equations and Operat...
In this note we review a recent result in [17] in collaboration with N. Garofalo, where we establish...
We consider a class of second-order partial differential operators A of Hörmander type, which contai...
Abstract. Hardy–Sobolev–type inequalities associated with the operator L:= x · ∇ are established, u...
The purpose of this text is twofold. We present a review of the existing stability results for Sobol...
We show that Hypoelliptic Kolmogorov equations are invariant with respect to a suitable Lie group st...
In this paper we show different inequalities for fractional order differential operators. In particu...
This paper is devoted to improvements of Sobolev and Onofri inequalities. The additional terms invol...
We provide a family of global weighted Sobolev inequalities and Hardy inequalities on PI spaces with...
This paper is a survey of the results obtained by the author in 1996-2004 and connected with extrapo...
This work focuses on an improved fractional Sobolev inequality with a remainder term involving the \...
The paper studies quasilinear elliptic problems in the Sobolev spaces W 1,p (Ω), Ω⊂R...
In this article, we study the L p -properties of powers of positive Rockland operators and de ne Sob...
We prove some Liouville theorems for systems of integral equations and inequalities related to weigh...
We consider a class of possibly degenerate second order elliptic operators A on R^n. This class incl...
34 pages; The title and document style have been changed, to appear in Integral Equations and Operat...
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