Boundedness of Commutators of Marcinkiewicz Integrals on Nonhomogeneous Metric Measure Spaces
Joint Authors
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-22
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Let (X,d,μ) be a metric measure space satisfying the upper doubling condition and geometrically doubling condition in the sense of Hytönen.
The aim of this paper is to establish the boundedness of commutator Mb generated by the Marcinkiewicz integral M and Lipschitz function b.
The authors prove that Mb is bounded from the Lebesgue spaces Lp(μ) to weak Lebesgue spaces Lq(μ) for 1≤p Moreover, some results in Morrey spaces and Hardy spaces are also discussed.
American Psychological Association (APA)
Lu, Guanghui& Tao, Shuangping. 2015. Boundedness of Commutators of Marcinkiewicz Integrals on Nonhomogeneous Metric Measure Spaces. Journal of Function Spaces،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1068288
Modern Language Association (MLA)
Lu, Guanghui& Tao, Shuangping. Boundedness of Commutators of Marcinkiewicz Integrals on Nonhomogeneous Metric Measure Spaces. Journal of Function Spaces No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1068288
American Medical Association (AMA)
Lu, Guanghui& Tao, Shuangping. Boundedness of Commutators of Marcinkiewicz Integrals on Nonhomogeneous Metric Measure Spaces. Journal of Function Spaces. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1068288
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1068288