Inégalités de Sobolev précisées
Inégalités pour l’opérateur intégral fractionnaire sur différents espaces métriques mesurés
Le but de cet article est d’étendre les résultats classiques (inégalité de Hardy-Littlewood-Sobolev, inégalité de Hedberg) sur l’intégrale fractionnaire à deux types différents d’espaces métriques mesurés : les espaces métriques mesurés à mesure doublante d’une part, les espaces métriques mesurés à croissance polynomiale du volume d’autre part. Les deux résultats principaux que nous obtenons sont les suivants :Etant donné un espace métrique mesuré de type homogène, étant donnés tels que , ,...
Inequalities for Fourier transforms
Inequalities for Poisson integrals with slowly growing dimensional constants.
Inequalities for two sine polynomials
We prove: (I) For all integers n ≥ 2 and real numbers x ∈ (0,π) we have , with the best possible constant bounds α = (15-√2073)/10240 √(1998-10√2073) = -0.1171..., β = 1/3. (II) The inequality holds for all even integers n ≥ 2 and x ∈ (0,π), and also for all odd integers n ≥ 3 and x ∈ (0,π - π/n].
Inequalities for Walsh polynomials with semi-monotone and semi-convex coefficients.
Inequalities of Calderón-Zygmund type for trigonometric polynomials.
Inequalities relative to two-parameter Vilenkin-Fourier coefficients
Inequivalence of Wavelet Systems in and
Theorems stating sufficient conditions for the inequivalence of the d-variate Haar wavelet system and another wavelet system in the spaces and are proved. These results are used to show that the Strömberg wavelet system and the system of continuous Daubechies wavelets with minimal supports are not equivalent to the Haar system in these spaces. A theorem stating that some systems of smooth Daubechies wavelets are not equivalent to the Haar system in is also shown.
Infinite matrices and conjugate derived Fourier series
Infinite matrices, wavelet coefficients and frames.
Infinitely Differentiable Functions With Prescribed Derivatives At A Point.
Ingham type theorems and applications to control theory
Ingham [6] ha migliorato un risultato precedente di Wiener [23] sulle serie di Fourier non armoniche. Modificando la sua funzione di peso noi otteniamo risultati ottimali, migliorando precedenti teoremi di Kahane [9], Castro e Zuazua [3], Jaffard, Tucsnak e Zuazua [7] e di Ullrich [21]. Applichiamo poi questi risultati a problemi di osservabilità simultanea.
Inhomogenous Discrete Calderón Reproducing Formulas for Spaces of Homogenous Type.
Inhomogenous RefinementEquations.
Initial Value Problems in Lp for Systems with Variable Coefficients.
Integrability and continuity of functions represented by trigonometric series: coefficients criteria
We study weighted -integrability (1 ≤ p < ∞) of trigonometric series. It is shown how the integrability of a function with weight depends on some regularity conditions on Fourier coefficients. Criteria for the uniform convergence of trigonometric series in terms of their coefficients are also studied.
Integrability and -convergence of modified sine sums.
Integrability and -convergence of Rees-Stanojević sums with generalized semiconvex coefficients.
Integrability and -convergence of Rees-Stanojević sums with generalized semi-convex coefficients of non-integral orders
Integrability and convergence of modified cosine sums introduced by Rees and Stanojević under a class of generalized semi-convex null coefficients are studied by using Cesàro means of non-integral orders.