Weighted estimates for classical integral operators. (English) Zbl 0746.47027
Nonlinear analysis, function spaces and applications, Vol. 4, Proc. Spring Sch., Roudnice nad Labem/Czech. 1990, Teubner-Texte Math. 119, 86-103 (1990).
Summary: [For the entire collection see Zbl 0731.00016.]
In this lecture we present solutions of some weight (and unweight) problems for classical integral operators, in particular, for maximal functions, potentials, Riesz transforms, and for their generalizations in the spaces of the homogeneous type. These results have been obtained recently by participants of the seminar on weighted function spaces and integral operators in the Tbilisi Institute of Mathematics of the Georgian Academy of Sciences and some of them also in collaboration with our Czech colleagues from the Mathematical Institute of the Czechoslovak Academy of sciences in Prague.
In this lecture we present solutions of some weight (and unweight) problems for classical integral operators, in particular, for maximal functions, potentials, Riesz transforms, and for their generalizations in the spaces of the homogeneous type. These results have been obtained recently by participants of the seminar on weighted function spaces and integral operators in the Tbilisi Institute of Mathematics of the Georgian Academy of Sciences and some of them also in collaboration with our Czech colleagues from the Mathematical Institute of the Czechoslovak Academy of sciences in Prague.
MSC:
| 47G10 | Integral operators |
| 46E30 | Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) |
| 47B38 | Linear operators on function spaces (general) |
