(p, q)-Regular operators between Banach lattices
We study the class of (p, q)-regular operators between quasi-Banach lattices. In particular, a representation of this class as the dual of a certain tensor norm for Banach lattices is given. We also provide some factorization results for (p, q)-regular operators yielding new Marcinkiewicz–Zygmund ty...
| Authors: | , |
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| Format: | article |
| Status: | Versión aceptada para publicación |
| Publication Date: | 2018 |
| Country: | España |
| Institution: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repository: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/204169 |
| Online Access: | http://hdl.handle.net/10261/204169 |
| Access Level: | Open access |
| Keyword: | Banach lattice (p, q)-Regular operator Marcinkiewicz–Zygmund inequalities Lattice tensor norm |
| Summary: | We study the class of (p, q)-regular operators between quasi-Banach lattices. In particular, a representation of this class as the dual of a certain tensor norm for Banach lattices is given. We also provide some factorization results for (p, q)-regular operators yielding new Marcinkiewicz–Zygmund type inequalities for Banach function spaces. An extension theorem for (q, ∞) -regular operators defined on a subspace of L is also given. |
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