Characterizations For The Generalized Fractional Integral Operators On Morrey Spaces
By Eridani, Hendra Gunawan, E. Nakai, Yoshihiro Sawano. 2014
54 citations recorded by the source corpus.
We present some characterizations for the boundedness of the generalized fractional integral operators on Morrey spaces. The characterizations follow from two key estimates, one for the norm of some functions in Morrey spaces, and another for the values of the corresponding fractional integrals. We prove three theorems about necessary and sufficient conditions. We show that these theorems are independent by giving some examples. We also obtain counterparts for the weak generalized Morrey spaces.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/3a4dfea665e515e6f9e0642014d82725e68ea1c5
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In Applied Mathematics
- Shohei Nakamura
- Yoshihiro Sawano
- Takahiro Noi
- Dachun Yang
- Wen Yuan
- T. Nogayama
- Ciqiang Zhuo
- Kwok-Pun Ho
In Mathematical Physics
- Shohei Nakamura
- Takahiro Noi
- Yoshihiro Sawano
- Dachun Yang
- Wen Yuan
- T. Nogayama
- Ciqiang Zhuo
- Kwok-Pun Ho
Citations in the corpus
- Generalized Morrey spaces and trace operator (2016, background): “An experience in [7, 63] shows that a passage from the classical Morrey space Mq(R) to the generalized Morrey space Mq (R) is not a mere quest to generalization.”