Vachtang Kokilashvili, Ji\v r\'\i {} R\'akosn\'\i k
A two weight weak inequality for potential type operators

Comment.Math.Univ.Carolinae 32,2 (1991) 251-263.

Abstract:We give conditions on pairs of weights which are necessary and sufficient for the operator $T(f)=K\ast f$ to be a weak type mapping of one weighted Lorentz space in another one. The kernel $K$ is an anisotropic radial decreasing function.

Keywords: integral operator, anisotropic potential, weighted Lorentz space
AMS Subject Classification: 42B20, 46E30