Continuity of the fractional integral operator on Morrey-Herz spaces
- Resource Type
- Conference
- Authors
- Zhou, Meng; Shi, Jian-Guo; Shi, Yan-Fang
- Source
- 2014 International Conference on Machine Learning and Cybernetics Machine Learning and Cybernetics (ICMLC), 2014 International Conference on. 2:796-800 Jul, 2014
- Subject
- Communication, Networking and Broadcast Technologies
Computing and Processing
Robotics and Control Systems
Abstracts
Integral equations
Educational institutions
Fractional integral
Space of homogeneous type
Morrey-Herz space.MR Subject Classification: 42B35,42B25
- Language
- ISSN
- 2160-133X
2160-1348
The purpose of this paper is to show the continuity of the fractional integral operator in Morrey-Herz spaces on homogeneous spaces. The method of the proof is the Minkowski's inequality and Hőlde's inequality. Besides the decomposition of function spaces established is widely applied in machine learning and cybernetics.