Personal profile
Campus career
数理情報科学系 教授 2011/04/01-2019/09/30
数学科 教授 2019/10/01-
理学系 教授 2019/10/01-
理学部理学科 基幹教員
学部運営への参画状況・・・有-教授会
担当授業科目に係る状況・・・主要授業科目担当
Research Fields, Keywords
- Probability theory
- Real analysis
Field of expertise (Grants-in-aid for Scientific Research classification)
- Basic analysis
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Collaborations and top research areas from the last five years
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関数空間におけるマルチンゲールの諸性質：フィルトレーションごとの研究
Kikuchi, M. (Principal Investigator)
Japan Society for the Promotion of Science
2023/04/01 → 2028/03/31
Project: Research Project
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Characterizations of function spaces that preserve some results on martingales
Kikuchi, M. (PI)
2017/04/01 → 2023/03/31
Project: Research
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Structures of quasi-Banach function spaces and the theory of martingales
Kikuchi, M. (PI)
2013/04/01 → 2017/03/31
Project: Research
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Harmonic analysis by real variable methods and its applications
Miyachi, A. (PI), Okada, M. (CoI), FURUYA, Y. (CoI), Kikuchi, M. (CoI), Tanaka, H. (CoI), Tomita, N. (CoI), Sawano, Y. (CoI), Nakai, E. (CoI), Tsutsui, Y. (CoI), Sato, S. (CoI), Kobayashi, M. (CoI) & Tachizawa, K. (CoI)
2011/04/01 → 2015/03/31
Project: Research
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弱型Burkholder不等式の成り立つ関数空間
Kikuchi, M., 2023/05/31, In: 数理解析研究所講究録. 2250, p. 22-30 9 p.Research output: Contribution to journal › Review article
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On some inequalities for the optional projection and the predictable projection of a discrete parameter process
Translated title of the contribution :On some inequalities for the optional projection and the predictable projection of a discrete parameter process Research output: Contribution to journal › Article › peer-review
Open Access -
On martingale transform inequalities in certain quasi-Banach function spaces
Kikuchi, M., 2019/09/01, In: Bolletino dell Unione Matematica Italiana. 12, 3, p. 485-514 30 p.Research output: Contribution to journal › Article › peer-review
3 Link opens in a new tab Scopus citations -
Martingales and function spaces
Kikuchi, M., 2018, In: Sugaku Expositions. 31, p. 117 142 p.Research output: Contribution to journal › Article › peer-review
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On Doob’s inequality and Burkholder’s inequality in weak spaces
Kikuchi, M., 2016/09/01, In: Collectanea Mathematica. 67, 3, p. 461-483 23 p.Research output: Contribution to journal › Article › peer-review
8 Link opens in a new tab Scopus citations
Activities
- 11 Oral presentation
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弱型 Burkholder 不等式の成り立つ関数空間
Kikuchi, M. (Speaker)
2019/12/09 → 2019/12/11Activity: Talk or presentation › Oral presentation
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弱空間における Burkholder-Davis-Gundy 型不等式
Kikuchi, M. (Speaker)
2018/10/06Activity: Talk or presentation › Oral presentation
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可予測射影及び良可測射影に関する不等式について
Kikuchi, M. (Speaker)
2018/02/05 → 2018/02/08Activity: Talk or presentation › Oral presentation
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離散時間確率過程の可予測射影に関する不等式について
Kikuchi, M. (Speaker)
2017/09/26Activity: Talk or presentation › Oral presentation
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On inequalities for martingale transforms in a weak space
Kikuchi, M. (Speaker)
2017/02/06 → 2017/02/09Activity: Talk or presentation › Oral presentation
Courses
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数理情報学演習3
Kikuchi, M., Kimura, I., Koda, T., Fujita, Y., Nagai, S., Deguchi, H., Kawabe, T., Ueda, K., Fujita, K., Yamane, H., Akiyama, M., Hirobayashi, S., Takamatsu, M., Tabata, T., Misawa, T., Hasegawa, H., Tamaki, K., Gao, S., Nagaoka, R., Katagiri, T., Oshima, Y. & Nozawa, T. 2024/12/04 → 2025/02/10
Course
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理学部入門B
Kikuchi, M., Kimura, I., Kouyama, N., Koda, T., Fujita, Y., Suzuki, H., Miyazawa, M., Yokoyama, H., Hayashi, N., Karahara, I., Matsuda, K., Wakasugi, T., Yamazaki, Y., Maekawa, K., Kuramitz, H., Nagai, S., Aoki, K., Deguchi, H., Nozaki, K., Enomoto, K., Yamamoto, M., Konno, N., Iwamura, M., Tayama, T., Yoshino, J., Tsuge, K., Horikawa, K., Kawabe, T., Ueda, K., Ohtsu, H., Fujita, K., Yamane, H., Sakatoku, A., Ikawa, Y., Nakamachi, T., Matsumura, S., Morioka, E., Sazawa, K., Tamaoki, D., Ohta, T., Sato, K., Akiyama, M., Tsuchida, T., Nishi, H., Sato, K., Uda, T., Shimizu, Y., Okamoto, K., Kinoshita, G., Furukawa, K., Takamori, A., Taguchi, A., Hara, M., Akamaru, S. & Hagiwara, H. 2024/10/02 → 2024/12/03
Course
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数理情報学演習2
Kikuchi, M., Kimura, I., Koda, T., Fujita, Y., Nagai, S., Deguchi, H., Kawabe, T., Ueda, K., Fujita, K., Yamane, H., Akiyama, M., Hirobayashi, S., Takamatsu, M., Tabata, T., Misawa, T., Hasegawa, H., Tamaki, K., Gao, S., Nagaoka, R., Katagiri, T., Oshima, Y. & Nozawa, T. 2024/10/02 → 2024/12/03
Course
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