2020年12月
Some modular inequalities in lebesgue spaces with a variable exponent
Transactions of A. Razmadze Mathematical Institute
- ,
- ,
- 巻
- 174
- 号
- 3
- 開始ページ
- 343
- 終了ページ
- 349
- 記述言語
- 掲載種別
- 研究論文(学術雑誌)
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.
- リンク情報
- ID情報
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- ISSN : 2346-8092
- eISSN : 2588-9028
- SCOPUS ID : 85103485118