The pseudodifferential operator A(x, D)
نویسندگان
چکیده
The pseudodifferential operator (p.d.o.)A(x,D), associated with the Bessel operator d2/dx2 + (1− 4μ2)/4x2, is defined. Symbol class Hm ρ,δ is introduced. It is shown that the p.d.o. associated with a symbol belonging to this class is a continuous linear mapping of the Zemanian spaceHμ into itself. An integral representation of p.d.o. is obtained. Using Hankel convolution Lσ,α-norm continuity of the p.d.o. is proved.
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عنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2004 شماره
صفحات -
تاریخ انتشار 2004