Japan Society for the Promotion of Science:Grants-in-Aid for Scientific Research
Date (from‐to) : 2006 -2009
Author : MIYACHI Akihiko, KANJIN Yuichi, KOZONO Hideo, SATO Shuichi, SATO Enji, FURUYA Yasuo, TACHIZAWA Kazuya, SHINOHARA Masahiko, OAKU Toshinori, OKADA Masami, SUGIMOTO Mitsuru, TOMITA Naohito, KOBAYASHI Masaharu, SAWANO Yoshihiro, NAKAI Eiichi, KANJIN Yuichi, SATO Enji
We introduced a function space on a domain of the Euclidean space and established its fundamental properties. The function space has several properties similar to the Hardy space on the whole Euclidean space introduced by Fefferman and Stein. In particular, we showed that the change of variables defined through diffeomorphisms, with certain properties, of the basic domains transforms the function space into another function space of the same kind. We used the function space to study classical orthogonal series. We investigated several other function spaces used in the field of time-frequency analysis and obtained several results concerning the operators acting in those spaces.