Researches on the structures of the spaces of analytic and harmonic functions and operators on them

2014 Fiscal Year Final Research Report

• Project/Area Number: 24540190
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Basic analysis
• Research Institution: Nippon Institute of Technology
• Principal Investigator: OHNO Shuichi 日本工業大学, 工学部, 准教授 (20265367)
• Co-Investigator(Kenkyū-buntansha): IZUCHI Kei Ji 新潟大学, 自然科学系, フェロー (80120963) ; HOSOKAWA Takuya 茨城大学, 工学部, 准教授 (90553579)
• Project Period (FY): 2012-04-01 – 2015-03-31
• Keywords: 合成作用素 / 荷重合成作用素 / Hardy 空間 / Bergman 空間 / Bloch 空間 / Dirichlet空間

Outline of Final Research Achievements

The object of this research is to investigate the notion of ``compositions". It would be one of elementary and important problems to characterize the continuity (boundedness) and compactness of the ``composition".Our main purpose is to study the topological structure of ``compositions”.So we would like to estimate the difference of two different ``compositions”.

Free Research Field

数物系科学