DocumentCode
1798456
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
Volume
2
fYear
2014
fDate
13-16 July 2014
Firstpage
796
Lastpage
800
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Machine Learning and Cybernetics (ICMLC), 2014 International Conference on
Conference_Location
Lanzhou
ISSN
2160-133X
Print_ISBN
978-1-4799-4216-9
Type
conf
DOI
10.1109/ICMLC.2014.7009711
Filename
7009711
Link To Document