Artículo
Complex Interpolation of Operators and Optimal Domains
Autor/es | Campo Acosta, Ricardo del
Fernández Carrión, Antonio Galdames, Orlando Mayoral Masa, Fernando Naranjo Naranjo, Francisco José |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) |
Fecha de publicación | 2014 |
Fecha de depósito | 2022-07-27 |
Publicado en |
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Resumen | Let X0 and X1 be two order continuous Banach function
spaces on a finite measure space, (E0, E1) a Banach space interpolation
pair, and T : X0 + X1 → E0 + E1 an admissible operator between the
pairs (X0, X1) and (E0, ... Let X0 and X1 be two order continuous Banach function spaces on a finite measure space, (E0, E1) a Banach space interpolation pair, and T : X0 + X1 → E0 + E1 an admissible operator between the pairs (X0, X1) and (E0, E1). If Tθ : [X0, X1][θ] → [E0, E1][θ] is the inter polated operator by the first complex method of Calder´on and m0, m1 and mθ are the vector measures coming from T| X0 and T| X1 and Tθ, respectively, then we study the relationship between the optimal domain L1(mθ) of Tθ and the complex interpolation space [L1(m0), L1(m1)][θ] of the optimal domains of T| X0 and T| X1 . Then, we apply the obtained result to study interpolation of p-th power factorable and bidual (p, q)- power-concave operators. |
Agencias financiadoras | Ministerio de Economía y Competitividad (MINECO). España Junta de Andalucía |
Identificador del proyecto | MTM2012-36740
FQM-133 |
Cita | Campo Acosta, R.d., Fernández Carrión, A., Galdames, O., Mayoral Masa, F. y Naranjo Naranjo, F.J. (2014). Complex Interpolation of Operators and Optimal Domains. Integral Equations and Operator Theory, 80 (2), 229-238. |
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