Fractional integral operator for L1 vector fields and its applications

Zhibing Zhang ()
Additional contact information
Zhibing Zhang: Anhui University of Technology

Indian Journal of Pure and Applied Mathematics, 2018, vol. 49, issue 3, 559-569

Abstract: Abstract This paper studies fractional integral operator for vector fields in weighted L1. Using the estimates on fractional integral operator and Stein-Weiss inequalities, we can give a new proof for a class of Caffarelli-Kohn-Nirenberg inequalities and establish new div-curl inequalities for vector fields.

Keywords: Stein-Weiss inequality; fractional integral operator; L 1 vector fields; div-curl inequalities (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-018-0285-4 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:49:y:2018:i:3:d:10.1007_s13226-018-0285-4

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-018-0285-4

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().