Article
Interpolation with a parameter function of Lp-spaces with respect to a vector measure on a δ-ring
Author/s | Campo Acosta, Ricardo del
Fernández Carrión, Antonio Manzano, 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 | 2016 |
Deposit Date | 2022-07-27 |
Published in |
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Abstract | Let ν be a σ-finite Banach-space-valued measure defined on a δ-ring. We find a wide class of measures ν for which interpolation with a parameter function of couples of Banach lattices of p-integrable and weakly p-integrable ... Let ν be a σ-finite Banach-space-valued measure defined on a δ-ring. We find a wide class of measures ν for which interpolation with a parameter function of couples of Banach lattices of p-integrable and weakly p-integrable functions with respect to ν produces a Lorentz-type space. Moreover, we prove that if we interpolate between sums and intersections of them, then they still yield another Lorentz-type space closely related with the first one |
Funding agencies | Ministerio de Economía y Competitividad (MINECO). España Junta de Andalucía |
Project ID. | MTM2012-36740-C02-01
MTM2013-42220-P FQM-133 |
Citation | Campo Acosta, R.d., Fernández Carrión, A., Manzano, A., Mayoral Masa, F. y Naranjo Naranjo, F.J. (2016). Interpolation with a parameter function of Lp-spaces with respect to a vector measure on a δ-ring. Banach Journal of Mathematical Analysis, 10 (4), 815-827. |
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