Generalized Morrey spaces and trace operator
By Shohei Nakamura, Takahiro Noi, Yoshihiro Sawano. 2016
81 citations recorded by the source corpus.
The theory of generalized Besov-Morrey spaces and generalized Triebel-Lizorkin-Morrey spaces is developed. Generalized Morrey spaces, which Mizuhara and Nakai proposed, are equipped with a parameter and a function. The trace property is one of the main focuses of the present paper, which will clarify the role of the parameter of generalized Morrey spaces. The quarkonial decomposition is obtained as an application of the atomic decomposition. In the end, the relation between the function spaces dealt in the present paper and the foregoing researches is discussed.
Subfields: Applied Mathematics, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/44936f2574ea9684daf0b33613808a130c5ee878
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In Applied Mathematics
- Shohei Nakamura
- Yoshihiro Sawano
- Dachun Yang
- Wen Yuan
- T. Nogayama
- Ciqiang Zhuo
- Kwok-Pun Ho
- M. Rosenthal
In Statistics and Probability
Citations in the corpus
- The singular integral operator and its commutator on weighted Morrey spaces (2016, background): “When w1 = w2 = w, Mq(w1, w2) corresponds to the weighted Morrey space Mq(w,w) introduced by Komori and Shirai in [23].”