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Young's inequality for Banach function spaces and its application to the maximal regularity estimate
Toru Nogayama
The goal of this paper is to give the necessary and sufficient condition for Banach function spaces on which Young's inequality holds. As an application, we consider the maximal re…
Wavelet characterization of local Muckenhoupt weighted Lebesgue spaces with variable exponent
Mitsuo Izuki, Toru Nogayama, Takahiro Noi +1
Our aim in this paper is to characterize local Muckenhoupt weighted Lebesgue spaces with variable exponent by compactly supported smooth wavelets. We also investigate necessary and…
Local Muckenhoupt class for variable exponents
Toru Nogayama, Yoshihiro Sawano
We define and show that the weighted inequality for local Hardy--Littlewood maximal operator on the Lebesgue spaces with variable exponent. This work will…
Mixed Morrey spaces
Toru Nogayama
We introduce mixed Morrey spaces and show some basic properties. These properties extend the classical ones. We investigate the boundedness in these spaces of the iterated maximal…
Complex interpolation of smoothness Triebel-Lizorkin-Morrey spaces
D. I. Hakim, T. Nogayama, Y. Sawano
This paper extends the result in \cite{HNS15} to Triebel-Lizorkin-Morrey spaces which contains parameters . This paper reinforces our earlier paper \cite{HNS15} by Nak…