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Analysis of institutional authors

Pablo Raúl StingaCorresponding Author

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The fractional Bessel equation in Hölder spaces

Publicated to:JOURNAL OF APPROXIMATION THEORY. 184 (1): 55-99 - 2014-01-01 184(1), DOI: 10.1016/j.jat.2014.05.003

Authors: Betancor Pérez, Jorge Juan; Castro, Alejandro J; Stinga, Pablo Raúl

Affiliations

The University of Texas at Austin - Author
Universidad de la Laguna - Author

Abstract

Motivated by the Poisson equation for the fractional Laplacian on the whole space with radial right hand side, we study global H¨older and Schauder estimates for a fractional Bessel equation. Our methods stand on the so-called semigroup language. Indeed, by using the solution to the Bessel heat equation we derive pointwise formulas for the fractional operators. Appropriate H¨older spaces, which can be seen as Campanato-type spaces, are characterized through Bessel harmonic extensions and fractional Carleson measures. From here the regularity estimates for the fractional Bessel equations follow. In particular, we obtain regularity estimates for radial solutions to the fractional Laplacian.

Keywords

AnalysisApplied mathematicsCiência da computaçãoGeneral mathematicsMatemática / probabilidade e estatísticaMathematicsMathematics (all)Mathematics (miscellaneous)Numerical analysis

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal JOURNAL OF APPROXIMATION THEORY due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2014, it was in position 62/312, thus managing to position itself as a Q1 (Primer Cuartil), 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: 1.09. 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:

  • Field Citation Ratio (FCR) from Dimensions: 2.65 (source consulted: Dimensions Jun 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-06-14, the following number of citations:

  • WoS: 8
  • Scopus: 10
  • OpenCitations: 6

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 2025-06-14:

  • 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: 7 (PlumX).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.

Leadership analysis of institutional authors

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: Last Author (STINGA ., PABLO RAUL).

the author responsible for correspondence tasks has been STINGA ., PABLO RAUL.