UTMS 2006 – 33 November 13 , 2006 Molecule decomposition of the modulation spaces M p , q and its application to the pseudo - differential operators
نویسندگان
چکیده
The aim of this paper is to develop a theory of decomposition of the functions belonging to the modulation space M with 0 < p, q ≤ ∞. We shall define molecules for the modulation spaces. The main difficulty in developing our theory lies in the synthesis part, that is, we shall tackle the norm estimate when we are given a sum of molecules under some suitable coefficient conditions. As an application we give a simple proof of the boundedness of the pseudo-differential operators.
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تاریخ انتشار 2006