Article
A note on real interpolation of L-P-spaces of vector measures on delta-rings
Author/s | Campo Acosta, Ricardo del
Fernández Carrión, Antonio Mayoral Masa, Fernando Naranjo Naranjo, Francisco José |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) |
Publication Date | 2014 |
Deposit Date | 2022-07-27 |
Published in |
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Abstract | We describe the real interpolation spaces obtained when we apply the real K-method
of Lions–Peetre to Banach lattices of p-integrable and weakly p-integrable functions
with respect to a Banach-space-valued measure defined ... We describe the real interpolation spaces obtained when we apply the real K-method of Lions–Peetre to Banach lattices of p-integrable and weakly p-integrable functions with respect to a Banach-space-valued measure defined on a δ-ring. In general, the obtained results are quite different from those in the case of vector measures on σ-algebras described in [9]. However, we find a wide class of vector measures on δ-rings for which the results on σ-algebras hold true |
Funding agencies | Ministerio de Economía y Competitividad (MINECO). España |
Project ID. | MTM2012-36740-C02-01 |
Citation | Campo Acosta, R.d., Fernández Carrión, A., Mayoral Masa, F. y Naranjo Naranjo, F.J. (2014). A note on real interpolation of L-P-spaces of vector measures on delta-rings. Journal of Mathematical Analysis and Applications, 419 (2), 995-1003. |
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