Displaying 401 – 420 of 3638

Showing per page

Approach regions for the square root of the Poisson kernel and boundary functions in certain Orlicz spaces

M. Brundin (2007)

Czechoslovak Mathematical Journal

If the Poisson integral of the unit disc is replaced by its square root, it is known that normalized Poisson integrals of L p and weak L p boundary functions converge along approach regions wider than the ordinary nontangential cones, as proved by Rönning and the author, respectively. In this paper we characterize the approach regions for boundary functions in two general classes of Orlicz spaces. The first of these classes contains spaces L Φ having the property L L Φ L p , 1 p < . The second contains spaces L Φ that...

Approximation by trigonometric polynomials in weighted Orlicz spaces

Daniyal M. Israfilov, Ali Guven (2006)

Studia Mathematica

We investigate the approximation properties of the partial sums of the Fourier series and prove some direct and inverse theorems for approximation by polynomials in weighted Orlicz spaces. In particular we obtain a constructive characterization of the generalized Lipschitz classes in these spaces.

Approximation et transfert d'opérateurs de convolution

Noël Lohoué (1976)

Annales de l'institut Fourier

Soient G 1 et G 2 deux groupes abéliens localement compacts de dual Γ 1 et Γ 2 . Soit h : Γ 1 Γ 2 un homomorphisme continu d’image dense de Γ 1 dans Γ 2 . Soit 1 p  ; on prouve un théorème d’approximation des multiplicateurs de F L p ( G 2 ) et on utilise ce résultat pour démontrer le suivant : soit m : Γ 2 C une fonction continue ; m est un multiplicateur de F L p ( G 2 ) si, et seulement si, m h est un multiplicateur de F L p ( G 1 ) .

Approximation in weighted generalized grand Lebesgue spaces

Daniyal M. Israfilov, Ahmet Testici (2016)

Colloquium Mathematicae

The direct and inverse problems of approximation theory in the subspace of weighted generalized grand Lebesgue spaces of 2π-periodic functions with the weights satisfying Muckenhoupt's condition are investigated. Appropriate direct and inverse theorems are proved. As a corollary some results on constructive characterization problems in generalized Lipschitz classes are presented.

Currently displaying 401 – 420 of 3638