| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Outline of Final Research Achievements |
One of the main results is generalization of the BMO norm using variable exponent. A joint work with Yoshihiro Sawano and Yohei Tsutsui has showed the following: The generalization is possible, provided that a variable exponent guarantees the weak boundedness of the Hardy-Littlewood maximal operator. The second main result is concerning with the study on various function spaces with variable exponents. A joint work with Eiichi Nakai and Yoshihiro Sawano has characterized variable Lebesgue spaces with variable exponent equipped a weight satisfying the variable exponent Muckenhoupt condition. Moreover a joint work with Takahiro Noi has clarified the dual spaces of
Herz, Besov and Triebel-Lizorkin spaces with variable exponents.
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