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2015 Fiscal Year Final Research Report

Investigation of function spaces of solutions of parabolic equations

Research Project

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Project/Area Number 25400133
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Basic analysis
Research InstitutionGifu University

Principal Investigator

Yamada Masahiro  岐阜大学, 教育学部, 教授 (00263666)

Co-Investigator(Renkei-kenkyūsha) Hishikawa yosuke  岐阜大学, 教育学部, 助教 (50585081)
Yamamoto Takanori  北海学園大学, 工学部, 教授 (60182630)
Nishio Masaharu  大阪市立大学, 理学研究科, 准教授 (90228156)
Project Period (FY) 2013-04-01 – 2016-03-31
Keywords放物型ハーディー空間 / 放物型ブロッホ空間 / 放物型共役調和関数 / 双対空間
Outline of Final Research Achievements

We study properties of α-parabolic conjugate functions. We introduce the notion of conjugacy to α-parabolic Bergman spaces. In this study, we define α-parabolic conjugate functions of parabolic Hardy spaces. Study of α-parabolic conjugate functions of parabolic Hardy spaces is diffcult for the case of p-1. Therefore, we study α-parabolic Bloch spaces and give an application to the estimates of tangential derivative norms.

Free Research Field

解析学

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Published: 2017-05-10  

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