Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces
Joint Authors
Gunawan, Hendra
Hakim, Denny Ivanal
Sawano, Yoshihiro
Sihwaningrum, Idha
Source
Journal of Function Spaces and Applications
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-28
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We prove weak type inequalities for some integral operators, especially generalized fractional integral operators, on generalized Morrey spaces of nonhomogeneous type.
The inequality for generalized fractional integral operators is proved by using two different techniques: one uses the Chebyshev inequality and some inequalities involving the modified Hardy-Littlewood maximal operator and the other uses a Hedberg type inequality and weak type inequalities for the modified Hardy-Littlewood maximal operator.
Our results generalize the weak type inequalities for fractional integral operators on generalized non-homogeneous Morrey spaces and extend to some singular integral operators.
In addition, we also prove the boundedness of generalized fractional integral operators on generalized non-homogeneous Orlicz-Morrey spaces.
American Psychological Association (APA)
Gunawan, Hendra& Hakim, Denny Ivanal& Sawano, Yoshihiro& Sihwaningrum, Idha. 2013. Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces. Journal of Function Spaces and Applications،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-499861
Modern Language Association (MLA)
Gunawan, Hendra…[et al.]. Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces. Journal of Function Spaces and Applications No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-499861
American Medical Association (AMA)
Gunawan, Hendra& Hakim, Denny Ivanal& Sawano, Yoshihiro& Sihwaningrum, Idha. Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces. Journal of Function Spaces and Applications. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-499861
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499861