Hausdorff matrices and composition operators

Hausdorff Matrices as Bounded Operators over /

A necessary and sufficient condition is obtained for an arbitrary Hausdorff matrix to belong to B(l). It is then shown that every conservative quasi-Hausdorff matrix is of type M. Let (H, u) denote the Hausdorff method with generating sequence ¡x = {/L,}, / = {{xn} \2„\xn\ < oo}, B(l) the algebra of bounded linear operators on /. A necessary and sufficient condition is obtained for an arbitrary...

Generalized Hausdorff Matrices as Bounded Operators on ! p*

Complex and Real Hausdorff Operators

Hausdorff operators (Hausdorff summability methods) appeared long ago aiming to solve certain classical problems in analysis. Modern theory of Hausdorff operators started with the work of Siskakis in complex analysis setting and with the work of Georgakis and Liflyand-Móricz in the Fourier transform setting. While Hausdorff operators for power series are still studied mostly in dimension one, t...

Composition Operators and Multiplication Operators on Orlicz Spaces

This article has no abstract.

Some Results for Hausdorff Operators

In this paper, we give the sufficient conditions for the boundedness of the (fractional) Hausdorff operators on the Lebesgue spaces with power weights. In some special cases, these conditions are the same and also necessary. As an application, we obtain a better lower bound of fractional Hardy operators on the Lebesgue spaces compared with a result of the paper [25]. Mathematics subject classif...