Year: 2017
Type: article
Abstract: We consider various inequalities related to the Adams inequality for the fractional integral operators on weighted Morrey spaces. In 2014, Izumi, Komori-Furuya and Sato proved an inequality which is the type of the Adams inequality on weighted Morrey spaces. Firstly, we investigate another proof of their result. Secondly, we investigate various inequalities related to their result for higher order commutators generated by BMO -functions and the fractional integral operator on weighted Morrey spaces. One of the main results in this papar recovers the result due to Cruz-Uribe and Fiorenza in 2003. Thirdly, we extend the fractional integrals to the multilinear fractional integrals. The result of the multilinear fractional integrals partially recovers the Moen result.
Author: Takeshi Iida
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W2623369166