57 citations · 61 across the 11 of their papers we have counts for
11 papers
Vector-Valued Hardy--Littlewood Maximal Inequalities on Ball Banach Function Spaces
Yoshihiro Sawano, Mitsuo Izuki, Takahiro Noi
The goal of this paper is to characterize the boundedness property of the uncentered Hardy--Littlewood maximal operator on ball Banach function spaces and their Köthe associate spa…
Ridgelet Transforms of Functions in Banach lattices
Mitsuo Izuki, Takahiro Noi, Yoshihiro Sawano +1
We establish a reproducing formula for the ridgelet transform on in the framework of Banach lattices introduced in a recent paper by Nieraeth. Our approach is based…
Some density theorems in neural network with variable exponent
Mitsuo Izuki, Takahiro Noi, Yoshihiro Sawano +1
In this paper, we extend several approximation theorems, originally formulated in the context of the standard norm, to the more general framework of variable exponent spaces.…
Applications of extrapolations to wavelet characterization of various function spaces and extension operators
Mitsuo Izuki, Takahiro Noi, Yoshihiro Sawano
The aim of this paper is to apply an extrapolation result without relying on convexification. We characterize ball Banach function spaces in terms of wavelets, formulated in a way…
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…
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…