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Analysis of institutional authors

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October 30, 2024
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Ideals of multilinear mappings via Orlicz spaces and translation invariant operators

Publicated to: MATHEMATISCHE NACHRICHTEN. 294 (5): 956-976 - 2021-01-01 294(5), DOI: 10.1002/mana.201900380

Authors:

Mastylo, Mieczyslaw; Sánchez Pérez, Enrique Alfonso
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Affiliations

Adam Mickiewicz Univ, Fac Math & Comp Sci, Uniwersytetu Poznanskiego 4 - Author
Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada - Author

Abstract

We study some new summability properties of multilinear operators. We introduce the concepts of phi-summing, phi semi-integral and phi-dominated multilinear maps generated by Orlicz functions. We prove a variant of Pietsch's domination theorem for phi-summing operators, providing also a characterization of phi-dominated operators in terms of factorizations. We analyze vector-valued inequalities associated to these maps, which are applied to obtain general variants of multiple summing operators. We also study translation invariant multilinear operators acting in products of spaces of continuous functions, proving that a factorization theorem can be obtained for them as a consequence of a suitable representation of the corresponding normalized Haar measure.
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Keywords

Factorization theoremsHaar measureMapsMultilinear idealsOrlicz spacesTranslation invariant operators

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal MATHEMATISCHE NACHRICHTEN 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, 2021, it was in position , thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics (Miscellaneous).

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Impact and social visibility

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.
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Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Germany; Poland.

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 (Sánchez Pérez, Enrique Alfonso).

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Awards linked to the item

Ministerio de Ciencia, Innovacion y Universidades, AgenciaEstatal de Investigacion (Spain) and FEDER, Grant/Award Number: MTM2016-77054-C2-1P; TheNational ScienceCentre of Poland, Grant/Award Number: 2015/17/B/ST1/00064
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