Martingale Morrey-Campanato Spaces and Fractional Integrals
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-29, 29 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-08
Country of Publication
Egypt
No. of Pages
29
Main Subjects
Abstract EN
We introduce Morrey-Campanato spaces of martingales and give their basic properties.
Our definition of martingale Morrey-Campanato spaces is different from martingale Lipschitz spaces introduced by Weisz, while Campanato spaces contain Lipschitz spaces as special cases.
We also give the relation between these definitions.
Moreover, we establish the boundedness of fractional integrals as martingale transforms on these spaces.
To do this we show the boundedness of the maximal function on martingale Morrey-Campanato spaces.
American Psychological Association (APA)
Nakai, Eiichi& Sadasue, Gaku. 2012. Martingale Morrey-Campanato Spaces and Fractional Integrals. Journal of Function Spaces،Vol. 2012, no. 2012, pp.1-29.
https://search.emarefa.net/detail/BIM-994246
Modern Language Association (MLA)
Nakai, Eiichi& Sadasue, Gaku. Martingale Morrey-Campanato Spaces and Fractional Integrals. Journal of Function Spaces No. 2012 (2012), pp.1-29.
https://search.emarefa.net/detail/BIM-994246
American Medical Association (AMA)
Nakai, Eiichi& Sadasue, Gaku. Martingale Morrey-Campanato Spaces and Fractional Integrals. Journal of Function Spaces. 2012. Vol. 2012, no. 2012, pp.1-29.
https://search.emarefa.net/detail/BIM-994246
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-994246