Cohen Positive Strongly p-Summing and p-Dominated m-Homogeneous Polynomials
We introduce the concepts of Cohen positive strongly p-summing and positive p-dominated m-homogeneous polynomials. The version of Pietsch’s domination theorem for the first class among other results and a Bu-type theorem is proved, as well as some inclusions with other known spaces. Moreover, we pre...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5495605 |
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| author | Halima Hamdi Samuel García-Hernández Amar Belacel Djamel Ouchenane Sulima Ahmed Zubair |
| author_facet | Halima Hamdi Samuel García-Hernández Amar Belacel Djamel Ouchenane Sulima Ahmed Zubair |
| author_sort | Halima Hamdi |
| collection | DOAJ |
| description | We introduce the concepts of Cohen positive strongly p-summing and positive p-dominated m-homogeneous polynomials. The version of Pietsch’s domination theorem for the first class among other results and a Bu-type theorem is proved, as well as some inclusions with other known spaces. Moreover, we present a characterization of these classes in tensor terms. |
| format | Article |
| id | doaj-art-bbf0b470bf5848a6a3f65981a673e209 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-bbf0b470bf5848a6a3f65981a673e2092025-02-03T01:12:21ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/5495605Cohen Positive Strongly p-Summing and p-Dominated m-Homogeneous PolynomialsHalima Hamdi0Samuel García-Hernández1Amar Belacel2Djamel Ouchenane3Sulima Ahmed Zubair4Laboratory of Pure and Applied MathematicsUniversidad Tecnológica de MÉxico UNITECLaboratory of Pure and Applied MathematicsLaboratory of Pure and Applied MathematicsDepartment of MathematicsWe introduce the concepts of Cohen positive strongly p-summing and positive p-dominated m-homogeneous polynomials. The version of Pietsch’s domination theorem for the first class among other results and a Bu-type theorem is proved, as well as some inclusions with other known spaces. Moreover, we present a characterization of these classes in tensor terms.http://dx.doi.org/10.1155/2021/5495605 |
| spellingShingle | Halima Hamdi Samuel García-Hernández Amar Belacel Djamel Ouchenane Sulima Ahmed Zubair Cohen Positive Strongly p-Summing and p-Dominated m-Homogeneous Polynomials Journal of Mathematics |
| title | Cohen Positive Strongly p-Summing and p-Dominated m-Homogeneous Polynomials |
| title_full | Cohen Positive Strongly p-Summing and p-Dominated m-Homogeneous Polynomials |
| title_fullStr | Cohen Positive Strongly p-Summing and p-Dominated m-Homogeneous Polynomials |
| title_full_unstemmed | Cohen Positive Strongly p-Summing and p-Dominated m-Homogeneous Polynomials |
| title_short | Cohen Positive Strongly p-Summing and p-Dominated m-Homogeneous Polynomials |
| title_sort | cohen positive strongly p summing and p dominated m homogeneous polynomials |
| url | http://dx.doi.org/10.1155/2021/5495605 |
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