Title :
Continuity of the fractional integral operator on Morrey-Herz spaces
Author :
Meng Zhou ; Jian-Guo Shi ; Yan-Fang Shi
Author_Institution :
Hebei Software Inst., Baoding, China
Abstract :
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 Hölde´s inequality. Besides the decomposition of function spaces established is widely applied in machine learning and cybernetics.
Keywords :
cybernetics; differentiation; functions; integral equations; integration; learning (artificial intelligence); mathematical operators; Hölde inequality; Minkowski inequality; Morrey-Herz spaces; cybernetics; fractional integral operator; function space decomposition; homogeneous spaces; machine learning; Abstracts; Educational institutions; Integral equations; Fractional integral; Morrey-Herz space.MR Subject Classification: 42B35,42B25; Space of homogeneous type;
Conference_Titel :
Machine Learning and Cybernetics (ICMLC), 2014 International Conference on
Conference_Location :
Lanzhou
Print_ISBN :
978-1-4799-4216-9
DOI :
10.1109/ICMLC.2014.7009711
