Some properties of distributions f satisfying x ¢ rf 2 Lp(Rn), 1 · p < 1, are studied. The operator x ¢ r is the generator of a semi-group of dilations. We first give Sobolev type inequalities with respect to the operator x ¢r. Using the inequalities, we also show that if f 2 Lp loc(Rn), x ¢rf 2 Lp(Rn) and jxjn=pjf(x)j vanishes at infinity, then f belongs to Lp(Rn). One of the Sobolev type inequalities is shown to be equivalent to the Hardy inequality in L2(Rn)
The paper studies quasilinear elliptic problems in the Sobolev spaces W 1,p (Ω), Ω⊂R...
In this paper, we,study an operator A on a Hilbert space H which satisfies one of the following ineq...
The purpose of this note is to investigate the effect of dilations on martingales and to give condit...
Abstract. Some properties of distributions f satisfying x · ∇f ∈ Lp(Rn), 1 ≤ p <∞, are studied. T...
We prove dilation invariant inequalities involving radial functions, poliharmonic operators and weig...
We prove dilation invariant inequalities involving radial functions, poliharmonic operators and weig...
We prove dilation invariant inequalities involving radial functions, poliharmonic operators and weig...
In the study of the spaces (formula omitted) of functions for which the pth powers of all the deriv...
In the study of the spaces (formula omitted) of functions for which the pth powers of all the deriv...
International audienceWe prove a sharp inequality conjectured by Bobkov on the measure of dilations ...
We prove a sharp inequality conjectured by Bobkov on the measure of dilations of Borel sets in Rn by...
In the last few years a large number of papers have appeared in the literature dealing with the weak...
The paper studies quasilinear elliptic problems in the Sobolev spaces W 1,p (Ω), Ω⊂R...
Abstract. Hardy–Sobolev–type inequalities associated with the operator L:= x · ∇ are established, u...
Abstract. Via a random construction we establish necessary conditions for Lp(`q) in-equalities for c...
The paper studies quasilinear elliptic problems in the Sobolev spaces W 1,p (Ω), Ω⊂R...
In this paper, we,study an operator A on a Hilbert space H which satisfies one of the following ineq...
The purpose of this note is to investigate the effect of dilations on martingales and to give condit...
Abstract. Some properties of distributions f satisfying x · ∇f ∈ Lp(Rn), 1 ≤ p <∞, are studied. T...
We prove dilation invariant inequalities involving radial functions, poliharmonic operators and weig...
We prove dilation invariant inequalities involving radial functions, poliharmonic operators and weig...
We prove dilation invariant inequalities involving radial functions, poliharmonic operators and weig...
In the study of the spaces (formula omitted) of functions for which the pth powers of all the deriv...
In the study of the spaces (formula omitted) of functions for which the pth powers of all the deriv...
International audienceWe prove a sharp inequality conjectured by Bobkov on the measure of dilations ...
We prove a sharp inequality conjectured by Bobkov on the measure of dilations of Borel sets in Rn by...
In the last few years a large number of papers have appeared in the literature dealing with the weak...
The paper studies quasilinear elliptic problems in the Sobolev spaces W 1,p (Ω), Ω⊂R...
Abstract. Hardy–Sobolev–type inequalities associated with the operator L:= x · ∇ are established, u...
Abstract. Via a random construction we establish necessary conditions for Lp(`q) in-equalities for c...
The paper studies quasilinear elliptic problems in the Sobolev spaces W 1,p (Ω), Ω⊂R...
In this paper, we,study an operator A on a Hilbert space H which satisfies one of the following ineq...
The purpose of this note is to investigate the effect of dilations on martingales and to give condit...
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