A Coifman-Rochberg type characterization of quasi-power weights.
A full characterization of multipliers for the strong -integral in the euclidean space
We study a generalization of the classical Henstock-Kurzweil integral, known as the strong -integral, introduced by Jarník and Kurzweil. Let be the space of all strongly -integrable functions on a multidimensional compact interval , equipped with the Alexiewicz norm . We show that each element in the dual space of can be represented as a strong -integral. Consequently, we prove that is strongly -integrable on for each strongly -integrable function if and only if is almost everywhere...
A New Proof of the Fundamental Lemma of Interpolation Theory.
A note on the predual of Lip(S, d)
A remark on the div-curl lemma
We prove the div-curl lemma for a general class of function spaces, stable under the action of Calderón-Zygmund operators. The proof is based on a variant of the renormalization of the product introduced by S. Dobyinsky, and on the use of divergence-free wavelet bases.
A short survey on stable convex sets
A theory of Besov and Triebel-Lizorkin spaces on metric measure spaces modeled on Carnot-Carathéodory spaces.
A topology on inequalities.
Backward adaptive biorthogonalization.
Binomial-Poisson entropic inequalities and the M/M/∞ queue
This article provides entropic inequalities for binomial-Poisson distributions, derived from the two point space. They appear as local inequalities of the M/M/∞ queue. They describe in particular the exponential dissipation of Φ-entropies along this process. This simple queueing process appears as a model of “constant curvature”, and plays for the simple Poisson process the role played by the Ornstein-Uhlenbeck process for Brownian Motion. Some of the inequalities are recovered by semi-group ...
Bounded linear functionals on the space of Henstock-Kurzweil integrable functions
Applying a simple integration by parts formula for the Henstock-Kurzweil integral, we obtain a simple proof of the Riesz representation theorem for the space of Henstock-Kurzweil integrable functions. Consequently, we give sufficient conditions for the existence and equality of two iterated Henstock-Kurzweil integrals.
Brelotovy prostory na jednodimensionálních varietách
Characterizations of spreading models of
Rosenthal in [11] proved that if is a uniformly bounded sequence of real-valued functions which has no pointwise converging subsequence then has a subsequence which is equivalent to the unit basis of in the supremum norm. Kechris and Louveau in [6] classified the pointwise convergent sequences of continuous real-valued functions, which are defined on a compact metric space, by the aid of a countable ordinal index “”. In this paper we prove some local analogues of the above Rosenthal ’s theorem...
Collectionwise normality and the extension of functions on product spaces
Comparaison des cônes profilés et des cônes presque bien coiffés
Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups
In this paper, we generalize to sub-Riemannian Carnot groups some classical results in the theory of minimal submanifolds. Our main results are for step 2 Carnot groups. In this case, we will prove the convex hull property and some “exclosure theorems” for H-minimal hypersurfaces of class C2 satisfying a Hörmander-type condition.
Describing Functions: Atomic Decompositions Versus Frames.
Duality and fractional integration in Lipschitz spaces
Elements generating balayages.
Espaces uniformes et espaces de mesures