(q, p)-Mixing Bloch maps
As a Bloch variant of (q,p)\left(q,p)-mixing linear operators, we introduce the notion of (q,p)\left(q,p)-mixing Bloch maps. We prove Pietsch’s domination theorem and Maurey’s splitting theorem in this Bloch context, following the corresponding results from the linear case.
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| Format: | Article |
| Language: | English |
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De Gruyter
2025-06-01
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| Series: | Demonstratio Mathematica |
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| Online Access: | https://doi.org/10.1515/dema-2025-0134 |
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| _version_ | 1849471439912042496 |
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| author | Jiménez-Vargas Antonio Ruiz-Casternado David |
| author_facet | Jiménez-Vargas Antonio Ruiz-Casternado David |
| author_sort | Jiménez-Vargas Antonio |
| collection | DOAJ |
| description | As a Bloch variant of (q,p)\left(q,p)-mixing linear operators, we introduce the notion of (q,p)\left(q,p)-mixing Bloch maps. We prove Pietsch’s domination theorem and Maurey’s splitting theorem in this Bloch context, following the corresponding results from the linear case. |
| format | Article |
| id | doaj-art-bf6609ba7eae4eb1ac93a57af1c2fc64 |
| institution | Kabale University |
| issn | 2391-4661 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj-art-bf6609ba7eae4eb1ac93a57af1c2fc642025-08-20T03:24:51ZengDe GruyterDemonstratio Mathematica2391-46612025-06-01581pp. 18519910.1515/dema-2025-0134(q, p)-Mixing Bloch mapsJiménez-Vargas Antonio0Ruiz-Casternado David1Departamento de Matemáticas, Universidad de Almería, Ctra. de Sacramento s/n, 04120 La Cañada de San Urbano, Almería, SpainDepartamento de Matemáticas, Universidad de Almería, Ctra. de Sacramento s/n, 04120 La Cañada de San Urbano, Almería, SpainAs a Bloch variant of (q,p)\left(q,p)-mixing linear operators, we introduce the notion of (q,p)\left(q,p)-mixing Bloch maps. We prove Pietsch’s domination theorem and Maurey’s splitting theorem in this Bloch context, following the corresponding results from the linear case.https://doi.org/10.1515/dema-2025-0134vector-valued holomorphic mapbloch functionp-summing operator(q, p)-mixing operator30h3047b1046e1546e4047l20 |
| spellingShingle | Jiménez-Vargas Antonio Ruiz-Casternado David (q, p)-Mixing Bloch maps Demonstratio Mathematica vector-valued holomorphic map bloch function p-summing operator (q, p)-mixing operator 30h30 47b10 46e15 46e40 47l20 |
| title | (q, p)-Mixing Bloch maps |
| title_full | (q, p)-Mixing Bloch maps |
| title_fullStr | (q, p)-Mixing Bloch maps |
| title_full_unstemmed | (q, p)-Mixing Bloch maps |
| title_short | (q, p)-Mixing Bloch maps |
| title_sort | q p mixing bloch maps |
| topic | vector-valued holomorphic map bloch function p-summing operator (q, p)-mixing operator 30h30 47b10 46e15 46e40 47l20 |
| url | https://doi.org/10.1515/dema-2025-0134 |
| work_keys_str_mv | AT jimenezvargasantonio qpmixingblochmaps AT ruizcasternadodavid qpmixingblochmaps |