ノイ タカヒロ   Noi Takahiro
  野井 貴弘
   所属   追手門学院大学  大学所属
   職種   講師
発行・発表の年月 2020/12
形態種別 論文
査読 査読あり
標題 Some modular inequalities in lebesgue spaces with a variable exponent
執筆形態 共著・編著(代表編著を除く)
掲載誌名 Transactions of A. Razmadze Mathematical Institute
掲載区分国外
巻・号・頁 174(3),343-349頁
著者・共著者 Mitsuo Izuki,Takahiro Noi,Yoshihiro Sawano
概要 Our aim is to study the modular inequalities for some operators, for example, the Bergman projection in Lebesgue spaces with a variable exponent. Under proper assumptions on the variable exponent, we prove that the modular inequalities hold, if and only if the exponent almost everywhere is equal to a constant. In order to get the main results, we establish a lower pointwise bound for these operators of a characteristic function.
ISSN 2346-8092/2588-9028