On a Multiplier Transform
On an infinite linear combination of partial sums of Fourier series
On bounds for the derivates of a complex-valued function on a compact interval.
On convolution operators with small support which are far from being convolution by a bounded measure
Let be the left convolution operators on with support included in F and denote those which are norm limits of convolution by bounded measures in M(F). Conditions on F are given which insure that , and are as big as they can be, namely have as a quotient, where the ergodic space W contains, and at times is very big relative to . Other subspaces of are considered. These improve results of Cowling and Fournier, Price and Edwards, Lust-Piquard, and others.
On Fourier multiplier criteria of Marcinkiewicz type
On quasiradial Fourier multiplier and their maximal functions.
On Some Properties of Segal Algebras and Their Multipliers.
On vector-valued Fourier multiplier theorems
On vector-valued Hardy martingales and a generalized Jensen's inequality.
On weighted transplantation and multipliers for Laguerre expansions.
Oscillatory integrals and multiplier problem for the disc
Pointwise ergodic theorems for arithmetic sets
Quasi-radial Fourier multipliers
Recognition and limit theorems for -multipliers
Remarks on the Hilbert transform and on some families of multiplier operators related to it.
We give an overview of the behavior of the classical Hilbert Transform H seen as an operator on Lp(R) and on weak-Lp(R), then we consider other operators related to H. In particular, we discuss various versions of Discrete Hilbert Transform and Fourier multipliers periodized in frequency, giving some partial results and stating some conjectures about their sharp bounds Lp(R) → Lp(R), for 1 < p < ∞.
Riesz transforms for Dunkl transform
In this paper we obtain the -boundedness of Riesz transforms for the Dunkl transform for all .
Sampling Multipliers and the Poisson Summation Formula.
Schauder decompositions and multiplier theorems
We study the interplay between unconditional decompositions and the R-boundedness of collections of operators. In particular, we get several multiplier results of Marcinkiewicz type for -spaces of functions with values in a Banach space X. Furthermore, we show connections between the above-mentioned properties and geometric properties of the Banach space X.
Singular integral operators with complex homogeneity
Some remarks on a theorem of S.M. Lozinski concerning linear process of approximation of periodic functions