{rfName}
A

Indexed in

License and use

Citations

25

Altmetrics

Grant support

The first named author was supported by ARC DP 140100649 and Vietnam's National Foundation for Science and Technology Development (NAFOSTED) under Project 101.02-2016.25. The second named author was supported by ERC StG-256997-CZOSQP. The third named author was supported by ARC DP 140100649. The fourth named author was supported by Iran's National Elites Foundation.

Analysis of institutional authors

Conde Alonso, Jose ManuelAuthor

Share

June 12, 2020
Publications
>
Article
No

A note on weighted bounds for singular operators with nonsmooth kernels

Publicated to:STUDIA MATHEMATICA. 236 (3): 245-269 - 2017-01-01 236(3), DOI: 10.4064/sm8409-9-2016

Authors: The Anh Bui; Conde-Alonso, Jose M.; Xuan Thinh Duong; Hormozi, Mahdi;

Affiliations

CSIC, Inst Ciencias Matemat, C Nicolas Cabrera 13-15, E-28049 Madrid, Spain - Author
Macquarie Univ, Dept Math, N Ryde, NSW 2109, Australia - Author
Shiraz Univ, Dept Math, Shiraz 71454, Iran - Author
Univ Gothenburg, Div Math, Dept Math Sci, S-41296 Gothenburg, Sweden - Author

Abstract

Let T be a multilinear integral operator which is bounded on certain products of Lebesgue spaces on R-n. We assume that its associated kernel satisfies some mild regularity condition which is weaker than the usual Holder continuity of kernels of multilinear Calderon-Zygmund singular integral operators. In this paper, given a suitable multiple weight w, we obtain a bound for the weighted norm of T in terms of w. As applications, we obtain new weighted bounds for certain singular integral operators such as linear and multilinear Fourier multipliers and the Riesz transforms associated to Schrodinger operators on R-n.

Keywords

CommutatorsHormanders conditionsLerner's formulaMultilinear fourier multipliersMultilinear maximal functionsMultilinear singular integralsNorm inequalitiesPointwise estimateSpacesTheoremWeighted norm inequalities

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal STUDIA MATHEMATICA due to its progression and the good impact it has achieved in recent years, according to the agency Scopus (SJR), it has become a reference in its field. In the year of publication of the work, 2017, it was in position , thus managing to position itself as a Q2 (Segundo Cuartil), in the category Mathematics (Miscellaneous). Notably, the journal is positioned en el Cuartil Q3 for the agency WoS (JCR) in the category Mathematics.

From a relative perspective, and based on the normalized impact indicator calculated from World Citations provided by WoS (ESI, Clarivate), it yields a value for the citation normalization relative to the expected citation rate of: 1.74. This indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: ESI Nov 14, 2024)

This information is reinforced by other indicators of the same type, which, although dynamic over time and dependent on the set of average global citations at the time of their calculation, consistently position the work at some point among the top 50% most cited in its field:

  • Weighted Average of Normalized Impact by the Scopus agency: 1.48 (source consulted: FECYT Feb 2024)
  • Field Citation Ratio (FCR) from Dimensions: 8.09 (source consulted: Dimensions Jul 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-07-20, the following number of citations:

  • WoS: 10
  • Scopus: 13

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-07-20:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 3 (PlumX).

Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Australia; Iran; Sweden.