An Lp − Lq - Version of Morgan's Theorem Associated with Partial Differential Operators
Data(s) |
28/08/2010
28/08/2010
2005
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Resumo |
2000 Mathematics Subject Classification: 42B10, 43A32. 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 ≤ +∞. |
Identificador |
Fractional Calculus and Applied Analysis, Vol. 8, No 3, (2005), 299p-312p 1311-0454 |
Idioma(s) |
en |
Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
Palavras-Chave | #Generalized Fourier Transform #Morgan's Theorem #42B10 #43A32 |
Tipo |
Article |