Complex interpolation of Lp-spaces of vector measures on δ-rings

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:405

Article

del Campo, R.¹  Fernandez, A.²  Mayoral, F.²  Naranjo, F.² 

[1] Univ Seville, Dpto Matemat Aplicada 1, EUITA, Seville 41013, Spain

[2] Escuela Tecn Super Ingn, Dpto Matemat Aplicada 2, Seville 41092, Spain

关键词: Calderon interpolation methods;    Gustavsson-Peetre space;    Integrable function;    Vector measure;    delta-ring;    Locally strongly additive measure;   

DOI  :  10.1016/j.jmaa.2013.04.013

来源: Elsevier

【 摘 要 】

We apply the Calderon interpolation methods to Banach lattices of p-integrable and weakly p-integrable functions with respect to a Banach-space-valued measure defined on a delta-ring. In general, the results we obtain are quite different from those in the case of vector measures on sigma-algebras. However, we find a wide class of vector measures on delta-rings for which the results on sigma-algebras hold true. (c) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free