5 papers · 1 filter
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…
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…
An intrinsic square function on weighted Herz spaces with variable exponent
Mitsuo Izuki, Takahiro Noi
We define new generalized Herz spaces having weight and variable exponent, that is, weighted Herz spaces with variable exponent. We prove the boundedness of an intrinsic square fun…