In this work we extend the classical definition of Hilbert transform to the Marcinkiewicz space Mp(R), 1 < p < +∞. Let Mp (R) be the set of functions f ∈ Lploc (R) , 1 ≤ p < ∞ such that lim sup T→+∞
<正> Let г:[-1,1]→R~n be a curve in R~n,n≧2,with г(0)=0.To г we associate the Hilbert transform...
AbstractIt is shown that for certain measures μ(dx), −∞ < x < ∞, the Hilbert transform Hf = P.V.1x ∗...
In this paper, we are devoted to establishing several necessary and su cient conditions for f∈Lp(Rn)...
AbstractLet fϵLp(R), gϵLq(R) with 1<p<∞, 1<q<∞ and let Hf, Hg be their respective Hilbert transforms...
Let f Î L8 and g Î L2 be supported on [0,1]. Then the principal value integral below exists in L1. p...
The nite Hilbert transform T is a classical (singular) kernel operator which is continuous in every ...
AbstractLet b ϵ BMO, ƒ ϵ Lp, 1 < p < ∞, H′b denote the dual Hilbert transform of b defined on BMO ac...
AbstractLetting H denote the Hilbert transform operator, we consider the commutator (aH−Ha)f(x)=p.v....
Let Θ ⊂ S1 be a lacunary set of directions of order D. We show that the maximal directional Hilbert ...
In this bachelor's thesis we will solve the Dirichlet problem with an Lp(T) boundary function. First...
Abstract. We show that the norm of the Hilbert transform as an operator in the weighted space Lp R (...
AbstractWe give a criterion for the intersection of two projections in Hilbert space to be a project...
We study certain isometries between Hilbert spaces, which are generated by the bilateral Laplace tra...
To the memory of Mischa Cotlar, my teacher and my friend Abstract. Through the prism of abstract sca...
We construct a new method for approximating Hilbert transforms and their inverse throughout the comp...
<正> Let г:[-1,1]→R~n be a curve in R~n,n≧2,with г(0)=0.To г we associate the Hilbert transform...
AbstractIt is shown that for certain measures μ(dx), −∞ < x < ∞, the Hilbert transform Hf = P.V.1x ∗...
In this paper, we are devoted to establishing several necessary and su cient conditions for f∈Lp(Rn)...
AbstractLet fϵLp(R), gϵLq(R) with 1<p<∞, 1<q<∞ and let Hf, Hg be their respective Hilbert transforms...
Let f Î L8 and g Î L2 be supported on [0,1]. Then the principal value integral below exists in L1. p...
The nite Hilbert transform T is a classical (singular) kernel operator which is continuous in every ...
AbstractLet b ϵ BMO, ƒ ϵ Lp, 1 < p < ∞, H′b denote the dual Hilbert transform of b defined on BMO ac...
AbstractLetting H denote the Hilbert transform operator, we consider the commutator (aH−Ha)f(x)=p.v....
Let Θ ⊂ S1 be a lacunary set of directions of order D. We show that the maximal directional Hilbert ...
In this bachelor's thesis we will solve the Dirichlet problem with an Lp(T) boundary function. First...
Abstract. We show that the norm of the Hilbert transform as an operator in the weighted space Lp R (...
AbstractWe give a criterion for the intersection of two projections in Hilbert space to be a project...
We study certain isometries between Hilbert spaces, which are generated by the bilateral Laplace tra...
To the memory of Mischa Cotlar, my teacher and my friend Abstract. Through the prism of abstract sca...
We construct a new method for approximating Hilbert transforms and their inverse throughout the comp...
<正> Let г:[-1,1]→R~n be a curve in R~n,n≧2,with г(0)=0.To г we associate the Hilbert transform...
AbstractIt is shown that for certain measures μ(dx), −∞ < x < ∞, the Hilbert transform Hf = P.V.1x ∗...
In this paper, we are devoted to establishing several necessary and su cient conditions for f∈Lp(Rn)...