On Lipschitz (p,σ)-dominated operators
This paper focuses on the study of a new class of Lipschitz operators known as Lipschitz (p,σ)-dominated operators, which serve as an interpolating class positioned between Lipschitz p-dominated and Lipschitz mappings. We present a proof of a nonlinear Pietsch domination theorem tailored to this spe...
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| Format: | Article |
| Language: | English |
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University Constantin Brancusi of Targu-Jiu
2025-03-01
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| Series: | Surveys in Mathematics and its Applications |
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| Online Access: | https://www.utgjiu.ro/math/sma/v20/p20_06.pdf |
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| _version_ | 1850147159329996800 |
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| author | Athmane Ferradi |
| author_facet | Athmane Ferradi |
| author_sort | Athmane Ferradi |
| collection | DOAJ |
| description | This paper focuses on the study of a new class of Lipschitz operators known as Lipschitz (p,σ)-dominated operators, which serve as an interpolating class positioned between Lipschitz p-dominated and Lipschitz mappings. We present a proof of a nonlinear Pietsch domination theorem tailored to this specific class of operators. Additionally, we provide a new characterization of Lipschitz p-dominated operators within the framework of an injective Lipschitz tensor product. As an application, we demonstrate the utility of these results by showcasing new domination-factorization theorems associated with this concept. |
| format | Article |
| id | doaj-art-352901dc3f5445e98be6bb9ade3c5baf |
| institution | OA Journals |
| issn | 1843-7265 1842-6298 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | University Constantin Brancusi of Targu-Jiu |
| record_format | Article |
| series | Surveys in Mathematics and its Applications |
| spelling | doaj-art-352901dc3f5445e98be6bb9ade3c5baf2025-08-20T02:27:39ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982025-03-0120 (2025)133148On Lipschitz (p,σ)-dominated operators Athmane Ferradi0Ecole Normale Supèrieure de Bousaada, 28001 Bousaada, Algeria. Department of Mathematics, Laboratoire d’Analyse Fonctionnelle et Géométrie des Espaces, University of M’sila, 28000 M’Sila, Algeria.This paper focuses on the study of a new class of Lipschitz operators known as Lipschitz (p,σ)-dominated operators, which serve as an interpolating class positioned between Lipschitz p-dominated and Lipschitz mappings. We present a proof of a nonlinear Pietsch domination theorem tailored to this specific class of operators. Additionally, we provide a new characterization of Lipschitz p-dominated operators within the framework of an injective Lipschitz tensor product. As an application, we demonstrate the utility of these results by showcasing new domination-factorization theorems associated with this concept. https://www.utgjiu.ro/math/sma/v20/p20_06.pdflipschitz p-dominatedlipschitz (pg)-summinginjective lipschitz tensor productpietsch domination-factorization theorem |
| spellingShingle | Athmane Ferradi On Lipschitz (p,σ)-dominated operators Surveys in Mathematics and its Applications lipschitz p-dominated lipschitz (p g)-summing injective lipschitz tensor product pietsch domination-factorization theorem |
| title | On Lipschitz (p,σ)-dominated operators |
| title_full | On Lipschitz (p,σ)-dominated operators |
| title_fullStr | On Lipschitz (p,σ)-dominated operators |
| title_full_unstemmed | On Lipschitz (p,σ)-dominated operators |
| title_short | On Lipschitz (p,σ)-dominated operators |
| title_sort | on lipschitz p σ dominated operators |
| topic | lipschitz p-dominated lipschitz (p g)-summing injective lipschitz tensor product pietsch domination-factorization theorem |
| url | https://www.utgjiu.ro/math/sma/v20/p20_06.pdf |
| work_keys_str_mv | AT athmaneferradi onlipschitzpsdominatedoperators |