Article
Algebra structure for Lp of a vector measure
Author/s | Delgado Garrido, Olvido
Miana, Pedro J. |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2009 |
Deposit Date | 2021-01-07 |
Published in |
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Abstract | In this paper, we present new results about the space Lp (ν) for ν being a vector measure
defined in the Borel σ -algebra of a compact abelian group G and satisfying certain property
concerning translation of simple ... In this paper, we present new results about the space Lp (ν) for ν being a vector measure defined in the Borel σ -algebra of a compact abelian group G and satisfying certain property concerning translation of simple functions. Namely, we show that Lp (ν) is a translation invariant space which can be endowed with an algebra structure via usual convolution product. We apply these results to the optimal domain of the Fourier transform and convolution operators. |
Funding agencies | Generalitat Valenciana Ministerio de Educación y Ciencia (MEC). España Ministerio de Ciencia Y Tecnología (MCYT). España |
Project ID. | GVPRE/2008/312
MTM2006-13000-C03-01 MTM2007-61446 |
Citation | Delgado Garrido, O. y Miana, P.J. (2009). Algebra structure for Lp of a vector measure. Journal of Mathematical Analysis and Applications, 358 (2), 355-363. |
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