KOBAYASHI, Masaharu

Position
Associate Professor
Organization
Department of Mathematics
Research Interest
Harmonic Analysis
Research Activities

My research field is analysis. Especially, I am interested in topics called harmonic analysis and real analysis. Roughly speaking, to study boundedness, continuity, differentiability and integrability of functions, we measure “quantitative properties” of functions. We also study how these “quantitative properties” change when we apply various operators. To measure “quantitative properties”, we use various norms (and we also use function spaces defined by these norms). Recently, I am interested in the theory of modulation spaces which were introduced by H.Feichtinger, and I’m trying to study pseudo-differential operators and partial differential equations in the framework of modulation spaces.

Papers:

[1] M. Kobayashi, M. Sugimoto, The inclusion relation between Sobolev and modulation spaces, J. Funct. Anal.
260 (2011), 3189–3208.

[2] K. Kato, M. Kobayashi, S. Ito, Estimates on modulation spaces for Schrödinger evolution operators with quadratic and sub-quadratic potentials, J. Funct. Anal.
266 (2014), 733–753.

[3] J. Cunanan, M. Kobayashi, M. Sugimoto, Inclusion relations between Lp-Sobolev and Wiener amalgam spaces, J. Funct. Anal.
268 (2015), 239–254.

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