4 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…