Investigation of function spaces of solutions of parabolic equations

2015 Fiscal Year Final Research Report

• Project/Area Number: 25400133
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Basic analysis
• Research Institution: Gifu 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