Solution of two-weight problems for integral transforms with positive kernels. (English) Zbl 1056.42507
From the Introduction: “In this paper we derive solutions of two-weight problems for integral transforms with a positive kernel. For weak type problems these transforms are assumed to be defined on general spaces with measure and a given quasimetric, while a strong type problem is solved in the case of homogeneous type spaces.”
MSC:
| 42B20 | Singular and oscillatory integrals (Calderón-Zygmund, etc.) |
| 42B25 | Maximal functions, Littlewood-Paley theory |
Keywords:
homogeneous type space; weak and strong type inequality; two-weighted inequality; integral transform with a positive kernel; Riemann-Liouville and Weyl fractional integral operatorsReferences:
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