Article
Optimal domains for kernel operators on [0,∞)×[0,∞)
Author/s | Delgado Garrido, Olvido |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2006 |
Deposit Date | 2021-01-08 |
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Abstract | Let T be a kernel operator with values in a rearrangement invariant Banach function space X on [0,∞) and defined over simple functions on [0,∞) of bounded support. We identify the optimal domain for T (still with values ... Let T be a kernel operator with values in a rearrangement invariant Banach function space X on [0,∞) and defined over simple functions on [0,∞) of bounded support. We identify the optimal domain for T (still with values in X) in terms of interpolation spaces, under appropriate conditions on the kernel and the space X. The techniques used are based on the relation between linear operators and vector measures. |
Funding agencies | Ministerio de Ciencia y Tecnología (MCYT). España |
Project ID. | BFM2003-06335-C03-01 |
Citation | Delgado Garrido, O. (2006). Optimal domains for kernel operators on [0,∞)×[0,∞). Studia Mathematica, 174 (2), 131-145. |
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