A new class of function spaces on domains (i.e., open and connected subsets) of $\mathbb{R}^d$, by means of the asymptotic behavior of modulations of functions and distributions, is defined. This class contains the classes of Lebesgue spaces and modulation spaces. Main properties of this class are studied, its applications in the study of function spaces and its relations to classical function spaces are discussed.
Narimani,G . (2013). A new class of function spaces on domains of $\mathbb{R}^d$ and its relations to classical function spaces. International Journal of Nonlinear Analysis and Applications, 4(1), 1-6. doi: 10.22075/ijnaa.2013.17
MLA
Narimani,G . "A new class of function spaces on domains of $\mathbb{R}^d$ and its relations to classical function spaces", International Journal of Nonlinear Analysis and Applications, 4, 1, 2013, 1-6. doi: 10.22075/ijnaa.2013.17
HARVARD
Narimani G. (2013). 'A new class of function spaces on domains of $\mathbb{R}^d$ and its relations to classical function spaces', International Journal of Nonlinear Analysis and Applications, 4(1), pp. 1-6. doi: 10.22075/ijnaa.2013.17
CHICAGO
G Narimani, "A new class of function spaces on domains of $\mathbb{R}^d$ and its relations to classical function spaces," International Journal of Nonlinear Analysis and Applications, 4 1 (2013): 1-6, doi: 10.22075/ijnaa.2013.17
VANCOUVER
Narimani G. A new class of function spaces on domains of $\mathbb{R}^d$ and its relations to classical function spaces. IJNAA. 2013;4(1):1-6. doi: 10.22075/ijnaa.2013.17
International Journal of Nonlinear Analysis and Applications