Geodesic
A two weight weak inequality for potential type operators
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 2, pp. 251-263

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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.
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.
Classification : 31B15, 42B20, 46E30, 47G10
Keywords: integral operator; anisotropic potential; weighted Lorentz space 
Kokilashvili, Vachtang; Rákosník, Jiří. A two weight weak inequality for potential type operators. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 2, pp. 251-263. http://geodesic.mathdoc.fr/item/CMUC_1991_32_2_a6/
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