A Note on Marcinkiewicz Integrals along Submanifolds of Finite Type
Author
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-12
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We study the parametric Marcinkiewicz integrals along submanifolds of finite type with rough kernels.
The kernels of our operators are allowed to be very rough both on the unit sphere and in the radial direction.
Under the rather weakened size conditions on the integral kernels, the Lp bounds will be established for such operators.
As applications, the corresponding results for parametric Marcinkiewicz integrals related to area integrals and Littlewood-Paley gλ⁎ functions are also given.
American Psychological Association (APA)
Zhang, Daiqing. 2018. A Note on Marcinkiewicz Integrals along Submanifolds of Finite Type. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1186542
Modern Language Association (MLA)
Zhang, Daiqing. A Note on Marcinkiewicz Integrals along Submanifolds of Finite Type. Journal of Function Spaces No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1186542
American Medical Association (AMA)
Zhang, Daiqing. A Note on Marcinkiewicz Integrals along Submanifolds of Finite Type. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1186542
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186542
