Journal of University of Science and Technology of China ›› 2015, Vol. 45 ›› Issue (12): 983-988.DOI: 10.3969/j.issn.0253-2778.2015.12.004

• Research Articles:Mathematics • Previous Articles     Next Articles

Boundedness of multilinear oscillatory singular integral on weighted Morrey spaces

PAN Yali, LI Changwen, ZHU Xiaolin   

  1. 1.School of Mathematical Science, Huaibei Normal University, Huaibei 235000, China; 2.School of Mathematics, Hefei University of Technology, Hefei 230009, China
  • Received:2013-12-11 Revised:2014-05-10 Accepted:2014-05-10 Online:2023-03-27 Published:2014-05-10
  • Contact: LI Changwen
  • About author:PAN Yali, female, born in 1981, master. Research field: harmonic analysis. E-mail: panliiyang@163.com
  • Supported by:
    Supported by the National Natural Science Foundation of China (11501233), China Postdoctoral Science Foundation (2015M572327), Humanities and Social Sciences Program of the Ministry of Education (15YJC630053), Natural Science Foundation of Anhui Province (1408085MA08; 1508085SMA204), Natural Science Foundation of the Education Department of Anhui Province (KJ2015A335; KJ2015A270).

Abstract: Using the boundedness result of the multilinear oscillatory integral operators on weighted Lebesgue spaces, based on the extrapolation theory, some inequality techniques and decomposition of space, some boundedness of two classes of multilinear oscillatory singular integrals on the weighted Morrey spaces Lp,κ(ω) were obtained.

Key words: multilinear oscillatory integral, weighted Morrey spaces, weight

CLC Number: