Weighted Estimates for Oscillatory Singular Integrals

Al-Qassem, H. and Cheng, L. and Fukui, A. and Pan, Y. (2013) Weighted Estimates for Oscillatory Singular Integrals. Journal of Function Spaces and Applications, 2013. pp. 1-3. ISSN 0972-6802

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Abstract

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 , while such results were known previously only for kernels in log , a proper subspace of . One of our results established a bound for certain weights. At the same time, it provides a solution to an open problem in Lu (2005).

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Details

Item Type:	Article
Status:	Published
Creators/Authors:	Creators Email Pitt Username ORCID Al-Qassem, H. Cheng, L. Fukui, A. Pan, Y. yibiao@pitt.edu
Date:	3 April 2013
Date Type:	Publication
Journal or Publication Title:	Journal of Function Spaces and Applications
Volume:	2013
Publisher:	Hindawi Limited
Page Range:	pp. 1-3
DOI or Unique Handle:	10.1155/2013/543748
Schools and Programs:	Dietrich School of Arts and Sciences > Mathematics
Refereed:	Yes
ISSN:	0972-6802
Official URL:	https://www.hindawi.com/journals/jfs/2013/543748/
Article Type:	Research Article
Date Deposited:	04 May 2020 17:18
Last Modified:	04 May 2020 17:18
URI:	http://d-scholarship.pitt.edu/id/eprint/38872

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