Function spaces and operators
Department of Mathematics, Mathematics
Function spaces and its applications to PDE
|Field||Harmonic Analysis, Real Analysis|
|Keyword||Function spaces, Time-frequency analysis, Pseudo-differential operators, Schrödinger operators, Singular integral operatos|
Introduction of Research
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.
|Affiliated academic society||The Mathematical Society of Japan|