Maximal operators of two-dimensional Walsh-Fourier series.
Maximal operators of Fejér means of double Vilenkin-Fourier series
The main aim of this paper is to prove that the maximal operator of the Fejér means of the double Vilenkin-Fourier series is not bounded from the Hardy space to the space weak-.
Maximal operators of Fejér means of Vilenkin-Fourier series.
Maximal operators of the Fejér means of the two dimensional character system of the -series field in the Kaczmarz rearrangement.
Measures and lacunary sets
We establish new connections between some classes of lacunary sets. The main tool is the use of (p,q)-summing or weakly compact operators (for Riesz sets). This point of view provides new properties of stationary sets and allows us to generalize to more general abelian groups than the torus some properties of p-Sidon sets. We also construct some new classes of Riesz sets.
Mesures spectrales de Walsh associées à certaines suites arithmétiques
On associe à certaines suites de nombres complexes une mesure borélienne positive sur le tore dont la transformée de Fourier-Walsh est une suite de moyennes liées à . La nature de (discrète, continue) est discutée dans quelques cas : suites presque-périodiques et certaines suites arithmétiques.
Modified dyadic derivatives and integrals of fractional order on .
Modulus of smoothness and theorems concerning approximation on compact groups.
Multiple integrals and Fourier series expansions associated with hypergeometric polynomials
Multiplicative function systems and their application in discrete information processing
Multiplier criteria of Hörmander type for Jacobi expansions
Multipliers for Hermite expansions.
The aim of this paper is to prove certain multiplier theorems for the Hermite series.
Multipliers for the twisted Laplacian
We study boundedness of certain multiplier transforms associated to the special Hermite operator.
Multipliers of Laplace transform type for Laguerre and Hermite expansions
We present a new criterion for the weighted boundedness of multiplier operators for Laguerre and Hermite expansions that arise from a Laplace-Stieltjes transform. As a special case, we recover known results on weighted estimates for Laguerre and Hermite fractional integrals with a unified and simpler approach.
Multipliers of the Fourier-Haar series.
Multivariate spectral multipliers for systems of Ornstein-Uhlenbeck operators
Multivariate spectral multipliers for systems of Ornstein-Uhlenbeck operators are studied. We prove that -uniform, 1 < p < ∞, spectral multipliers extend to holomorphic functions in some subset of a polysector, depending on p. We also characterize L¹-uniform spectral multipliers and prove a Marcinkiewicz-type multiplier theorem. In the appendix we obtain analogous results for systems of Laguerre operators.