5 citations · 11 across the 8 of their papers we have counts for
8 papers
Choquet integrals, Hausdorff content and fractional operators
Naoya Hatano, Ryota Kawasumi, Hiroki Saito +1
It is shown that the fractional integral operator , , and the fractional maximal operator , , are bounded on weak Choquet spaces with respect to Hausdorff…
Global universality of the two-layer neural network with the -rectified linear unit
N. Hatano, M. Ikeda, I. Ishikawa +1
This paper concerns the universality of the two-layer neural network with the -rectified linear unit activation function with with a suitable norm without any res…
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…
Variants of -hypergeometric equation
Naoya Hatano, Ryuya Matsunawa, Tomoki Sato +1
We introduce two variants of -hypergeometric equation. We obtain several explicit solutions of variants of -hypergeometric equation. We show that a variant of -hypergeomet…
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…