Appendix on return-time sequences
Approximation of translation invariant operators
Bilinear multipliers and transference.
Bounded projections, duality, and multipliers in spaces of harmonic functions.
C1 Changes of Variable: Beurling-Helson Type Theorem and Hörmander Conjecture on Fourier Multipliers.
Complex Interpolation and Fourier Multipliers for the Spaces B.... and F.... of Besov-Hardy-Sobolev Type: The Case 0<p....., 0<q.... .
Construction de p-multiplicateurs
Using characteristic functions of polyhedra, we construct radial p-multipliers which are continuous over but not continuously differentiable through and give a p-multiplier criterion for homogeneous functions over . We also exhibit fractal p-multipliers over the real line.
Convergence factors of Fourier series of summable functions.
Démonstration probabiliste de certaines inégalités de Littlewood-Paley. Exposé I : les inégalités classiques
Démonstration probabiliste de certaines inégalités de Littlewood-Paley. Exposé II : l'opérateur carré du champ
Démonstration probabiliste de certaines inégalités de Littlewood-Paley. Exposé IV : semi-groupes de convolution symétriques
Démonstration probabiliste de certaines inégalités de Littlewood-Paley. Exposé III : les inégalités générales
Differentiation in lacunary directions and an extension of the Marcinkiewicz multiplier theorem
We show that the maximal operator associated to the family of rectangles in one of whose sides is parallel to for some j,k is bounded on , . We give an application of this theorem to obtain an extension of the Marcinkiewicz multiplier theorem.
Disjointness results for some classes of stable processes
We discuss the disjointness of two classes of stable stochastic processes: moving averages and Fourier transforms. Results on the incompatibility of these two representations date back to Urbanik. Here we extend various disjointness results to encompass larger classes of processes.
Endpoint multiplier theorems of Marcinkiewicz type.
We establish sharp (H1,L1,q) and local (L logrL,L1,q) mapping properties for rough one-dimensional multipliers. In particular, we show that the multipliers in the Marcinkiewicz multiplier theorem map H1 to L1,∞ and L log1/2L to L1,∞, and that these estimates are sharp.
Erratum to "On convolution operators with small support which are far from being convolution by a bounded measure" (Colloq. Math. 67 (1994), 33-60)
Error estimates for approximation of translation invariant operators
Espaces BMO, inégalités de Paley et multiplicateurs idempotents
Generalizing the classical BMO spaces defined on the unit circle with vector or scalar values, we define the spaces and , where for x ≥ 0 and q ∈ [1,∞[, and where B is a Banach space. Note that and by the John-Nirenberg theorem. Firstly, we study a generalization of the classical Paley inequality and improve the Blasco-Pełczyński theorem in the vector case. Secondly, we compute the idempotent multipliers of . Pisier conjectured that the supports of idempotent multipliers of form a Boolean...
Extensions of a Fourier multiplier theorem of Paley, II
Fonctions arithmétiques multiplicatives et multiplicateurs des coefficients de Fourier des fonctions de puissance p-ième sommable