Hardy operators on weighted amalgams

Abstract

We characterize the boundedness of the Hardy operator between weighted amalgams, a problem studied, but not completely solved, by C. Carton-Lebrun, H. P. Heinig and S. C. Hofmann. We also characterize the weighted weak-type inequalities for modified Hardy operators on amalgams.

Norm inequalities in weighted amalgam

“…For the study of the amalgam space, we refer to [4]. For the study of the Hardy inequality in the amalgam space, we refer to [3], [5], [6], [10]. Banach function space (BFS) had been introduced by W. A. J. Luxemburg in [9].…”