Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615609 | Journal of Mathematical Analysis and Applications | 2015 | 13 Pages |
Abstract
The main aim of this paper is to study a general multisublinear operators generated by quasi-concave functions between weighted Banach function lattices. These operators, in particular, generalize the Hardy-Littlewood and fractional maximal functions playing an important role in harmonic analysis. We prove that under some general geometrical assumptions on Banach function lattices two-weight weak type and also strong type estimates for these operators are true. To derive the main results of this paper we characterize the strong type estimate for a variant of multilinear averaging operators. As special cases we provide boundedness results for fractional maximal operators in concrete function spaces.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Vakhtang Kokilashvili, MieczysÅaw MastyÅo, Alexander Meskhi,