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The dilation property of modulation spaces and their inclusion relation with Besov spaces
- M. Sugimoto, Naohito Tomita
- Mathematics
- 8 June 2006
Abstract We consider the dilation property of the modulation spaces M p , q . Let D λ : f ( t ) ↦ f ( λ t ) be the dilation operator, and we consider the behavior of the operator norm ‖ D λ ‖ M p , q… Expand
Global L 2-Boundedness Theorems for a Class of Fourier Integral Operators
- Michael Ruzhansky, M. Sugimoto
- Mathematics
- 1 January 2006
ABSTRACT The local L 2-mapping property of Fourier integral operators has been established in Hörmander (1971) and in Eskin (1970). In this article, we treat the global L 2-boundedness for a class of… Expand
Global smoothing properties of generalized Schrödinger equations
- M. Sugimoto
- Mathematics
- 1 December 1998
$L^{p}$-boundedness of Pseudo-differential operators satisfying Besov estimates I
- M. Sugimoto
- Mathematics
- 1988
The inclusion relation between Sobolev and modulation spaces
- M. Kobayashi, M. Sugimoto
- Mathematics
- 5 September 2010
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 $e^{i|D|^\alpha}$… Expand
Global L2-boundedness theorems for a class of Fourier integral operators
- Michael Ruzhansky, M. Sugimoto
- Mathematics
- 13 November 2003
The local $L^2$-mapping property of Fourier integral operators has been established in H\"ormander \cite{H} and in Eskin \cite{E}. In this paper, we treat the global $L^2$-boundedness for a class of… Expand
Pseudo-differential operators on Besov spaces
- M. Sugimoto
- Mathematics
- 1 June 1988
In the present paper, we shall study the pseudo-differential operators or Besov spaces BPi<l (s<=/2, p, <?e[l, oo]), and give systematical boundedness theorems for pseudo-differentialoperators whose… Expand
Weighted Sobolev L2 estimates for a class of Fourier integral operators
- Michael Ruzhansky, M. Sugimoto
- Mathematics
- 19 November 2007
In this paper we develop elements of the global calculus of Fourier integral operators in under minimal decay assumptions on phases and amplitudes. We also establish global weighted Sobolev L2… Expand
Intervarietal chimera formation in cabbage (Brassica oleracea L.).
- Y. Hirata, N. Yagishita, M. Sugimoto, K. Yamamoto
- Biology
- 1 December 1990
A histological and genetical study was done on intervarietal graft chimeras between "Yo-shin kanran" (green colored) and "Murasaki kanran" (purple colored) in cabbage (Brassica oleracea). When the… Expand
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