Pointwise and integral estimates for the B-Riesz potential in terms of B-maximal and B-fractional maximal functions
SIBERIAN MATHEMATICAL JOURNAL, vol.49, no.6, pp.1008-1022, 2008 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 49 Issue: 6
- Publication Date: 2008
- Doi Number: 10.1007/s11202-008-0097-6
- Journal Name: SIBERIAN MATHEMATICAL JOURNAL
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1008-1022
- Yıldız Technical University Affiliated: No
Abstract
We study the maximal and fractional maximal functions and Riesz potentials that are generated by the generalized shift operator associated with the Laplace-Bessel operator. We obtain some pointwise and integral estimates that give a relation between the B-maximal and B-fractional maximal functions and B-Riesz potentials and extend the available results to the objects of a more general nature. Basing on these results, we prove interpolation theorems for the B-fractional maximal functions and B-Riesz potentials.