The inclusion relation between Sobolev and modulation spaces
By Masaharu Kobayashi, Mitsuru Sugimoto. 2010
69 citations recorded by the source corpus.
The inclusion relations between the $L^p$-Sobolev spaces and the modulation spaces is determined explicitly. As an application, mapping properties of unimodular Fourier multiplier $e^{i|D|^\alpha}$ between $L^p$-Sobolev spaces and modulation spaces are discussed.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/555baf1d520c49e289a97242def283ed5007a226
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In Applied Mathematics
In Mathematical Physics
- Oana Pocovnicu
- Tadahiro Oh
- 'Arp'ad B'enyi
- Gigliola Staffilani
- Andrea R. Nahmod
- James E. Colliander
- D. Mendelson
- Jonas Lührmann
Citations in the corpus
- WIENER RANDOMIZATION ON UNBOUNDED DOMAINS AND AN APPLICATION TO ALMOST SURE WELL-POSEDNESS OF NLS (2014, background): “There are several known embeddings between the Besov, Sobolev, and modulation spaces; see, for example, Okoudjou [40], Toft [51], Sugimoto-Tomita [48], and Kobayashi-Sugimoto [35].”
- On the Probabilistic Cauchy Theory of the Cubic Nonlinear Schrödinger Equation on Rd, d≥3 (2014, unknown): “See, for example, Okoudjou [46], Toft [58], Sugimoto-Tomita [54], and Kobayashi-Sugimoto [40].”