Weighted Hardy and potential operators in the generalized Morrey spaces |
| |
Authors: | Lars-Erik Persson |
| |
Institution: | a Luleå University of Technology, Sweden b Universidade do Algarve, Portugal |
| |
Abstract: | We study the weighted p→q-boundedness of the multi-dimensional Hardy type operators in the generalized Morrey spaces Lp,φ(Rn,w) defined by an almost increasing function φ(r) and radial type weight w(|x|). We obtain sufficient conditions, in terms of some integral inequalities imposed on φ and w, for such a p→q-boundedness. In some cases the obtained conditions are also necessary. These results are applied to derive a similar weighted p→q-boundedness of the Riesz potential operator. |
| |
Keywords: | Morrey space Weighted Hardy operator Weighted Hardy inequalities Bary-Stechkin classes Matuszewska-Orlicz indices |
本文献已被 ScienceDirect 等数据库收录! |
|