## Abstract We characterize the pairs of weights (__u__, __v__) such that the one‐sided geometric maximal operator __G__^+^, defined for functions __f__ of one real variable by verifies the weak‐type inequality or the strong type inequality for 0 < __p__ < ∞. We also find two new conditions wh
Weighted norm inequalities for geometric fractional maximal operators
✍ Scribed by David Cruz-Uribe; C. J. Neugebauer; V. Olesen
- Publisher
- SP Birkhäuser Verlag Boston
- Year
- 1999
- Tongue
- English
- Weight
- 903 KB
- Volume
- 5
- Category
- Article
- ISSN
- 1069-5869
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📜 SIMILAR VOLUMES
We find a characterization of a two-weight norm inequality for a maximal operator and we obtain, as a consequence, strong type estimates for the maximal function over general approach regions.
If r is a nonzero constant, then HS r is just a well-known class of weights due to H. Helson and G. Szego (Ann. Mat. Pura Appl. 51 (1960), 107 138). Moreover we study the Koosis-type problem of two weights of S :, ; and get very simple necessary and sufficient conditions for such weights. 1997 Acad
This paper gives some necessary and sufficient conditions for the weighted Cesaro mean operators to be bounded on Herz spaces.
Jd5-10, 1982) .ibstract. In this paper we prore weighted norm estimates for vector valued integral operators with positive kernels. In addition weighted norm inequalities for certain general vector valued singular integral operators are obtained. Applications of these results include a generalized