Some modular inequalities in Lebesgue spaces with variable exponent

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Note (General)：: Our aim is to study the modular inequalities for some operators, for example the Bergman projection acting on, in Lebesgue spaces with variable expone...

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Material Type: 文書・図像類
Title: Some modular inequalities in Lebesgue spaces with variable exponent
Author/Editor: Izuki, Mitsuo
Noi, Takahiro
Sawano, Yoshihiro
Author Heading: Izuki, Mitsuo
Noi, Takahiro
Sawano, Yoshihiro
Publication, Distribution, etc.: OCAMI
Publication Date: 2019-11-11
Publication Date (W3CDTF): 2019-11-11
Periodical title: OCAMI Preprint Series
No. or year of volume/issue: 19 12
Volume: 19
Issue: 12
Pages: 1-9
Text Language Code: eng
Subject Heading: variable exponent
modular inequality
Lebesgue space
42B35
Target Audience: 一般
Note (General): Our aim is to study the modular inequalities for some operators, for example the Bergman projection acting on, in Lebesgue spaces with variable exponent. Under proper assumptions on the variable exponent, we prove that the modular inequalities are hold if and only if the exponent almost everywhere equals to a constant. In order to get the main results, we prove a lemma for a lower pointwise bound for these operators of a characteristic function.
Access Restrictions: 限定公開
Rights (production): This is a pre-print version.
Data Provider (Database): 国立情報学研究所 : 学術機関リポジトリデータベース（IRDB）（機関リポジトリ）
https://irdb.nii.ac.jp
Original Data Provider (Database): 大阪市立大学 : 大阪市立大学学術機関リポジトリ