Abstract
In this paper, we obtain conditions of the inclusion relations between α-modulation spaces and Triebel–Lizorkin spaces.
Highlights
[1] in 1983 by the short-time Fourier transform. modulation space has a close relationship with the topics of time-frequency analysis, and it has been regarded as a appropriate space for the study of partial differential equations
E -modulation space is introduced by Gröbner [6] to link Besov and modulation spaces by the parameter
-modulation spaces, an interesting subject is the inclusion between -modulation and function spaces, have been concerned by many authors to this topic, see [8,9,10,11]
Summary
푠 푝,푞 was first introduced by Feichtinger [1] in 1983 by the short-time Fourier transform. modulation space has a close relationship with the topics of time-frequency analysis (see [2]), and it has been regarded as a appropriate space for the study of partial differential equations (see [3,4,5]). Modulation space has a close relationship with the topics of time-frequency analysis (see [2]), and it has been regarded as a appropriate space for the study of partial differential equations (see [3,4,5]). -modulation spaces, an interesting subject is the inclusion between -modulation and function spaces, have been concerned by many authors to this topic, see [8,9,10,11]. Schrödinger equations on -modulation spaces, and in [14] studied the Cauchy problem for the derivative nonlinear. We are interested in studying the inclusion relations between -modulation spaces. Lan푠푝,d훼 (lqeutals푠푝i,-훼)bneotrhme Let 푗 푗∈N be (quasi-) Banach space is finite. Lan푠푝,1d(qleutalsi푠푝,-1)bneotrhme Let 푘 푘∈Z be (quasi-) Banach space is finite.
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