Add to ORKGIn this paper, we prove sufficient conditions on pairs of weights (u,v) (scalar, matrix or operator valued) so that the Hilbert transform H f(x) = p.v. ? [f(y) / x - y] dy, is bounded from L2(u) to L2(v)
Let f Î L8 and g Î L2 be supported on [0,1]. Then the principal value integral below exists in L1. p...
AbstractLet b ϵ BMO, ƒ ϵ Lp, 1 < p < ∞, H′b denote the dual Hilbert transform of b defined on BMO ac...
Abstract. It is proved that the Hilbert transform defined on a finite interval is bounded in the gra...
Let W denote a matrix A2 weight. In this paper, we implement a scalar argument using the square func...
Abstract. LetW denote a matrix A2 weight. In this paper we implement a scalar argument using the squ...
The two power-weight (Lpu, Lqv) norm inequalities for the Hilbert transform on the cones of monotone...
Two-weight inequalities for the Hilbert transform of monotone functions are characterized. The chara...
AbstractLet σ and ω be locally finite positive Borel measures on R. Subject to the pair of weights s...
International audienceWe establish a new estimate for the Hilbert transform in L^2 space endowed wit...
The Hilbert transform has become increasingly popular over the years due to its wide ranging applica...
Abstract. We show that the norm of the Hilbert transform as an operator in the weighted space Lp R (...
Let W be an operator weight taking values almost everywhere in the bounded positive invertible linea...
AbstractWe study the boundedness of the Hilbert transform H and the Hilbert maximal operator H∗ on w...
Abstract. We prove in particular that for the Hilbert transform, for 1 < p < ∞ and a weight w ...
We continue the investigation initiated in [Grafakos, L. and Li, X.: Uniform bounds for the bilinear...
Let f Î L8 and g Î L2 be supported on [0,1]. Then the principal value integral below exists in L1. p...
AbstractLet b ϵ BMO, ƒ ϵ Lp, 1 < p < ∞, H′b denote the dual Hilbert transform of b defined on BMO ac...
Abstract. It is proved that the Hilbert transform defined on a finite interval is bounded in the gra...
Let W denote a matrix A2 weight. In this paper, we implement a scalar argument using the square func...
Abstract. LetW denote a matrix A2 weight. In this paper we implement a scalar argument using the squ...
The two power-weight (Lpu, Lqv) norm inequalities for the Hilbert transform on the cones of monotone...
Two-weight inequalities for the Hilbert transform of monotone functions are characterized. The chara...
AbstractLet σ and ω be locally finite positive Borel measures on R. Subject to the pair of weights s...
International audienceWe establish a new estimate for the Hilbert transform in L^2 space endowed wit...
The Hilbert transform has become increasingly popular over the years due to its wide ranging applica...
Abstract. We show that the norm of the Hilbert transform as an operator in the weighted space Lp R (...
Let W be an operator weight taking values almost everywhere in the bounded positive invertible linea...
AbstractWe study the boundedness of the Hilbert transform H and the Hilbert maximal operator H∗ on w...
Abstract. We prove in particular that for the Hilbert transform, for 1 < p < ∞ and a weight w ...
We continue the investigation initiated in [Grafakos, L. and Li, X.: Uniform bounds for the bilinear...
Let f Î L8 and g Î L2 be supported on [0,1]. Then the principal value integral below exists in L1. p...
AbstractLet b ϵ BMO, ƒ ϵ Lp, 1 < p < ∞, H′b denote the dual Hilbert transform of b defined on BMO ac...
Abstract. It is proved that the Hilbert transform defined on a finite interval is bounded in the gra...