2 citations · 2 across the 5 of their papers we have counts for
5 papers
Predual of weak Orlicz spaces
Naoya Hatano, Ryota Kawasumi, Takahiro Ono
In this paper, we consider the predual spaces of weak Orlicz spaces. As an application, we provide the Fefferman-Stein vector-valued maximal inequality for the weak Orlicz spaces.…
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…
Bilinear estimates on Morrey spaces by using average
Naoya Hatano
This paper is a follow up of [6]. We investigate the boundedness of the bilinear fractional integral operator introduced by Grafakos in [3]. When the local integrability index …
A note on the bilinear fractional integral operator acting on Morrey spaces
Naoya Hatano, Yoshihiro Sawano
The boundedness of the bilinear fractional integral operator is investigated. This bilinear fractional integral operator goes back to Kenig and Stein. This paper is oriented to the…