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 Title: An Lp − Lq - Version of Morgan's Theorem Associated with Partial Differential Operators Authors: Kamoun, Lotfi Keywords: Generalized Fourier TransformMorgan's Theorem42B1043A32 Issue Date: 2005 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Fractional Calculus and Applied Analysis, Vol. 8, No 3, (2005), 299p-312p Abstract: In this paper we take the strip KL = [0, +∞[×[−Lπ, Lπ], where L is a positive integer. We consider, for a nonnegative real number α, two partial differential operators D and Dα on ]0, +∞[×] − Lπ, Lπ[. We associate a generalized Fourier transform Fα to the operators D and Dα. For this transform Fα, we establish an Lp − Lq − version of the Morgan's theorem under the assumption 1 ≤ p, q ≤ +∞. Description: 2000 Mathematics Subject Classification: 42B10, 43A32. URI: http://hdl.handle.net/10525/1259 ISSN: 1311-0454 Appears in Collections: 2005

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