Weighted Estimates for Oscillatory Singular Integrals
Joint Authors
Pan, Y.
Cheng, L.
al-Qassem, H.
Fukui, A.
Source
Journal of Function Spaces and Applications
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-3, 3 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-03
Country of Publication
Egypt
No. of Pages
3
Main Subjects
Abstract EN
We establish uniform bounds for oscillatory singular integrals as well as oscillatory singular integral operators.
We allow the singular kernel to be given by a function in the Hardy space H1(Sn−1), while such results were known previously only for kernels in L log L(Sn−1), a proper subspace of H1(Sn−1).
One of our results established a Lp(w)→Lp(w) bound for certain weights.
At the same time, it provides a solution to an open problem in Lu (2005).
American Psychological Association (APA)
al-Qassem, H.& Cheng, L.& Fukui, A.& Pan, Y.. 2013. Weighted Estimates for Oscillatory Singular Integrals. Journal of Function Spaces and Applications،Vol. 2013, no. 2013, pp.1-3.
https://search.emarefa.net/detail/BIM-480231
Modern Language Association (MLA)
al-Qassem, H.…[et al.]. Weighted Estimates for Oscillatory Singular Integrals. Journal of Function Spaces and Applications No. 2013 (2013), pp.1-3.
https://search.emarefa.net/detail/BIM-480231
American Medical Association (AMA)
al-Qassem, H.& Cheng, L.& Fukui, A.& Pan, Y.. Weighted Estimates for Oscillatory Singular Integrals. Journal of Function Spaces and Applications. 2013. Vol. 2013, no. 2013, pp.1-3.
https://search.emarefa.net/detail/BIM-480231
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480231
