10 citations · 22 across the 9 of their papers we have counts for
9 papers
Improved Sobolev Embedding Theorems for Vector-valued Functions
Takashi Ichinose, Yoshimi Saitō
The aim of this paper is to give an extension of the improved Sobolev embedding theorem for single-valued functions to the case of vector-valued functions which is involved with th…
Dirac--Sobolev Spaces and Sobolev Spaces
Takashi Ichinose, Yoshimi Saitō
The aim of this work is to study the first order Dirac-Sobolev spaces in norm on an open subset of to clarify its relationship with the corresponding Sobolev…
Eigenfunctions at the threshold energies of magnetic Dirac operators
Yoshimi Saito, Tomio Umeda
Discussed are modes and resonances of Dirac operators with vector potentials . Asymptotic limits of modes at infinity are…
The asymptotic limits of zero modes of massless Dirac operators
Yoshimi Saito, Tomio Umeda
Asymptotic behaviors of zero modes of the massless Dirac operator are discussed, where is the triple of Dirac matrices, $ D=\f…
The zero modes and zero resonances of massless Dirac operators
Yoshimi Saito, Tomio Umeda
The zero modes and zero resonances of the Dirac operator are discussed, where is the triple of Dirac matrices, $ D=\frac{1}{i}…
The reduced wave equation in layered materials
Willi Jager, Yoshimi Saito
Let H = -(1/m(x))L be the reduced wave operator defined on the N-dimensional Euclidean space, where \f L is the Laplacian. Here m(x) is a positive step function with possible count…