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The Dual of the Two-Variable Exponent Amalgam Spaces (L<sup>q()</sup>,l<sup>p()</sup>)(&#937;)

The Dual of the Two-Variable Exponent Amalgam Spaces (L<sup>q()</sup>,l<sup>p()</sup>)(&#937;)
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摘要 Wiener amalgam spaces are a class of function spaces where the function’s local and global behavior can be easily distinguished. These spaces are ex-tensively used in Harmonic analysis that originated in the work of Wiener. In this paper: we first introduce a two-variable exponent amalgam space (L<sup>q</sup><sup>()</sup>,l<sup>p</sup><sup>()</sup>)(Ω). Secondly, we investigate some basic properties of these spaces, and finally, we study their dual. Wiener amalgam spaces are a class of function spaces where the function’s local and global behavior can be easily distinguished. These spaces are ex-tensively used in Harmonic analysis that originated in the work of Wiener. In this paper: we first introduce a two-variable exponent amalgam space (L<sup>q</sup><sup>()</sup>,l<sup>p</sup><sup>()</sup>)(Ω). Secondly, we investigate some basic properties of these spaces, and finally, we study their dual.
作者 Sambourou Massinanke Sékou Coulibaly Mamadou Traore Sambourou Massinanke;Sékou Coulibaly;Mamadou Traore(Departement d’Etudes et de Recherches de Mathématiques et d’Informatique, Université des Sciences, des Techniques et des Technolo-gies de Bamako, Bamako, Mali)
出处 《Journal of Applied Mathematics and Physics》 2024年第2期383-431,共49页 应用数学与应用物理(英文)
关键词 Amalgam Spaces Variable Exponent Lebesgue Spaces Dual of a Vector Space Amalgam Spaces Variable Exponent Lebesgue Spaces Dual of a Vector Space
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