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The inclusion relation between Sobolev and modulation spaces |
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| Authors: | Masaharu Kobayashi Mitsuru Sugimoto |
| Institution: | a Department of Mathematics, Tokyo University of Science, Kagurazaka 1-3, Shinjuku-ku, Tokyo 162-8601, Japan b Graduate School of Mathematics, Nagoya University, Furocho, Chikusa-ku, Nagoya 464-8602, Japan |
| Abstract: | The inclusion relations between the Lp-Sobolev spaces and the modulation spaces is determined explicitly. As an application, mapping properties of unimodular Fourier multiplier eiα|D| between Lp-Sobolev spaces and modulation spaces are discussed. |
| Keywords: | Modulation space _method=retrieve& _eid=1-s2 0-S0022123611000723& _mathId=si4 gif& _pii=S0022123611000723& _issn=00221236& _acct=C000054348& _version=1& _userid=3837164& md5=0746b2d86195208dcb6492e3dc246ad4')" style="cursor:pointer Lp-Sobolev space" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">Lp-Sobolev space Inclusion Unimodular Fourier multiplier |
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