68 citations · 205 across the 39 of their papers we have counts for
39 papers
Weighted local Hardy spaces with variable exponents
Mitsuo Izuki, Toru Nogayama, Takahiro Noi +1
This paper defines local weighted Hardy spaces with variable exponent. Local Hardy spaces permit atomic decomposition, which is one of the main themes in this paper. A consequence…
On the reflexivity of the spaces of variable integrability and summability
Arash Ghorbanalizadeh, Reza Roohi Seraji, Yoshihiro Sawano
In this paper, we show that under the condition , the space is reflexive. In this way we give an answer to open probl…
On the weak boundedness of multilinear Littlewood--Paley functions
Mahdi Hormozi, Yoshihiro Sawano, Kozo Yabuta
In this note, notwithstanding the generalization, we simplify and shorten the proofs of the main results of the third author's paper \cite{SXY} significantly. In particular, the ne…
A global universality of two-layer neural networks with ReLU activations
Naoya Hatano, Masahiro Ikeda, Isao Ishikawa +1
In the present study, we investigate a universality of neural networks, which concerns a density of the set of two-layer neural networks in a function spaces. There are many works…
Boundedness of composition operators on Morrey spaces and weak Morrey spaces
Naoya Hatano, Masahiro Ikeda, Isao Ishikawa +1
In this study, we investigate the boundedness of composition operators acting on Morrey spaces and weak Morrey spaces. The primary aim of this study is to investigate a necessary a…
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…