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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
University Constantin Brancusi of Targu-Jiu
2025-03-01
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| Series: | Surveys in Mathematics and its Applications |
| Subjects: | |
| Online Access: | https://www.utgjiu.ro/math/sma/v20/p20_06.pdf |
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| Summary: | 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. |
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| ISSN: | 1843-7265 1842-6298 |