Criterion on L p 1 × L p 2 → L q -Boundedness for Oscillatory Bilinear Hilbert Transform
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-01
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We investigate the bilinear Hilbert transform with oscillatory factors and the truncated bilinear Hilbert transform.
The main result is that the L p 1 × L p 2 → L q -boundedness of the two operators is equivalent with 1 ≤ p 1 , p 2 < ∞ , and 1 / q = 1 / p 1 + 1 / p 2 .
In addition, we also discuss the boundedness of a variant operator of bilinear Hilbert transform with a nontrivial polynomial phase.
American Psychological Association (APA)
Shi, Zuoshunhua& Yan, Dunyan. 2014. Criterion on L p 1 × L p 2 → L q -Boundedness for Oscillatory Bilinear Hilbert Transform. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1014632
Modern Language Association (MLA)
Shi, Zuoshunhua& Yan, Dunyan. Criterion on L p 1 × L p 2 → L q -Boundedness for Oscillatory Bilinear Hilbert Transform. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1014632
American Medical Association (AMA)
Shi, Zuoshunhua& Yan, Dunyan. Criterion on L p 1 × L p 2 → L q -Boundedness for Oscillatory Bilinear Hilbert Transform. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1014632
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014632
