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.
@article{116963,
author = {Vachtang Michailovi\v c Kokilashvili and Ji\v r\'\i\ R\'akosn\'\i k},
title = {A two weight weak inequality for potential type operators},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {32},
year = {1991},
pages = {251-263},
zbl = {0746.42011},
mrnumber = {1137786},
language = {en},
url = {http://dml.mathdoc.fr/item/116963}
}
Kokilashvili, Vachtang Michailovič; Rákosník, Jiří. A two weight weak inequality for potential type operators. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) pp. 251-263. http://gdmltest.u-ga.fr/item/116963/
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