A study of singular integral operators

2017 Fiscal Year Final Research Report

• Project/Area Number: 15K04938
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Basic analysis
• Research Institution: Tokai University
• Principal Investigator: Furuya Yasuo 東海大学, 理学部, 教授 (70234903)
• Co-Investigator(Kenkyū-buntansha): 澤野 嘉宏 首都大学東京, 理工学研究科, 准教授 (40532635) ; 松山 登喜夫 中央大学, 理工学部, 教授 (70249712)
• Project Period (FY): 2015-04-01 – 2018-03-31
• Keywords: 特異積分 / ハーディー空間 / 多重線形作用素 / モレイ空間

Outline of Final Research Achievements

We consider the boundedness of singular integral operators. In particular we study multilinear fractional operators and obtain the strong type estimates on product of Lebesgue spaces at critical indices. We also improve bilinear Stein-Weiss inequality.

Free Research Field

実解析学