| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2019: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2018: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
By studying the structure of positive solutions of a parabolic differential operator, we determine the Martin boundary for its related elliptic operator. We know a relation between Martin boundary and Choquet boundary in the framework of parabolic potential theory. We study Bergman and Hardy type spaces for α-parabolic operators. It is clear that a relation between Toeplitz operators and Carleton measures. We show when they are bounded, compact or finite rank. Moreover, we obtain some new estimates for the weighted polynomial approximation on real line with Erdos weights.
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