AbstractWe obtain a sharp L2(Rn) bound for the maximal directional Hilbert transform over an arbitrary set of directions
For a class of convex curves in Rd we prove that the corresponding maximal operator and Hilbert tran...
The definitive reference on Hilbert transforms covering the mathematical techniques for evaluating t...
SIGLEAvailable from British Library Document Supply Centre- DSC:D80069 / BLDSC - British Library Doc...
We establish the sharp growth rate, in terms of cardinality, of the Lp norms of the maximal Hilbert ...
In this dissertation we study the maximal directional Hilbert transform operator associated with a ...
Let Θ ⊂ S1 be a lacunary set of directions of order D. We show that the maximal directional Hilbert ...
We establish the sharp growth order, up to epsilon losses, of the L2-norm of the maximal directional...
Let K be a Calderón-Zygmund convolution kernel on R. We discuss the L p -boundedness of the maximal ...
We study directional maximal operators on Rn with smooth densities. We prove that if the classical d...
A recent result by Parcet and Rogers is that finite order lacunarity characterizes the boundedness o...
We study a two-dimensional discrete directional maximal operator along the set of the prime numbers....
International audienceWe establish a new estimate for the Hilbert transform in L^2 space endowed wit...
Abstract. We give a necessary and sufficient condition for the double Hilbert transform on Rd+2 to b...
Let \(\Omega\) be the set of unit vectors and \(w\) be a radial weight on the plane. We consider the...
We obtain a sharp L2 estimate for the maximal operator associated with uniformly distributed directi...
For a class of convex curves in Rd we prove that the corresponding maximal operator and Hilbert tran...
The definitive reference on Hilbert transforms covering the mathematical techniques for evaluating t...
SIGLEAvailable from British Library Document Supply Centre- DSC:D80069 / BLDSC - British Library Doc...
We establish the sharp growth rate, in terms of cardinality, of the Lp norms of the maximal Hilbert ...
In this dissertation we study the maximal directional Hilbert transform operator associated with a ...
Let Θ ⊂ S1 be a lacunary set of directions of order D. We show that the maximal directional Hilbert ...
We establish the sharp growth order, up to epsilon losses, of the L2-norm of the maximal directional...
Let K be a Calderón-Zygmund convolution kernel on R. We discuss the L p -boundedness of the maximal ...
We study directional maximal operators on Rn with smooth densities. We prove that if the classical d...
A recent result by Parcet and Rogers is that finite order lacunarity characterizes the boundedness o...
We study a two-dimensional discrete directional maximal operator along the set of the prime numbers....
International audienceWe establish a new estimate for the Hilbert transform in L^2 space endowed wit...
Abstract. We give a necessary and sufficient condition for the double Hilbert transform on Rd+2 to b...
Let \(\Omega\) be the set of unit vectors and \(w\) be a radial weight on the plane. We consider the...
We obtain a sharp L2 estimate for the maximal operator associated with uniformly distributed directi...
For a class of convex curves in Rd we prove that the corresponding maximal operator and Hilbert tran...
The definitive reference on Hilbert transforms covering the mathematical techniques for evaluating t...
SIGLEAvailable from British Library Document Supply Centre- DSC:D80069 / BLDSC - British Library Doc...