We study some classes of pseudo-differential operators with symbols $a$ admitting anisotropic exponential type growth at infinity. We deduce mapping properties for these operators on Gelfand–Shilov spaces. Moreover, we deduce algebraic and certain invariance properties of these classes.
Pseudo-Differential Calculus in Anisotropic Gelfand–Shilov Setting
Abdeljawad, Ahmed;Cappiello, Marco;
2019-01-01
Abstract
We study some classes of pseudo-differential operators with symbols $a$ admitting anisotropic exponential type growth at infinity. We deduce mapping properties for these operators on Gelfand–Shilov spaces. Moreover, we deduce algebraic and certain invariance properties of these classes.
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