This paper gives a systematic study of Sobolev, Besov and Triebel-Lizorkin spaces on a
noncommutative d-torus Td θ (with θ a skew symmetric real d× d-matrix). These spaces …

While the class of multipliers of the Sobolev space W k, 1 (R n) is strictly larger than the
space of bounded measures for n> 1 [3], we show in this paper that it fails to contain certain …

In this paper, we obtain an isometry between the Fock–Sobolev space and the Gauss–
Sobolev space with the same order. As an application, we use multipliers on the Gauss …

WEAK AMENABILITY OF SEGAL ALGEBRAS 1. Introduction Let A be an algebra, and let E be
an A-bimodule. Then a linear map D : A → Page 1 PROCEEDINGS OF THE AMERICAN …

Munis de leur norme naturelle, ils sont tous des espaces de Banach. Les résultats obtenus
peuvent se classer en cinq familles:(i) propriétés fondamentales;(ii) caractérisations;(iii) …

Multiplication (convolution) operators between spaces of distributions are continuous linear
maps which on the subspace act as multiplication (convolution). In section one we fix our …

A concrete characterization for the LP-multipliers (1< p<∞) for the Weyl transform is
obtained. This is used to study the Weyl multipliers for Laguerre Sobolev spaces W m, p (ℂ …

Inspired by the work of A. Bonami and S. Poornima that a non-constant function which is
homogeneous of degree 0 cannot be a Fourier multiplier on homogeneous Sobolev spaces …

ON THE SOBOLEV SPACES Wk,1(Rnt S. POORNIMA For any non negative integer k and
any p, 1 $ P < 00, let W k, P(R n) denotetheSob Page 1 ON THE SOBOLEV SPACES Wk,1(Rnt …

In this paper, it is shown that the class of right Fourier multipliers for the Sobolev space Wk,
p(Hn) coincides with the class of right Fourier multipliers for Lp (Hn) for k∈ N, 1< p<∞ …