arXiv subjects

Yoshimi Saitō

Publications and source records attributed to Yoshimi Saitō.

2 recordsLinked to original sources

arXiv2014

Improved Sobolev Embedding Theorems for Vector-valued Functions

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 the three-dimensional massless Dirac operator together with the three- or two-dimensional Weyl--Dirac (or Pauli) operator, the Cauchy--Riemann operator and also the four-dimensional Euclidian Dirac operator.

math-ph↗

arXiv2010

Dirac--Sobolev Spaces and Sobolev Spaces

The aim of this work is to study the first order Dirac-Sobolev spaces in $L^p$ norm on an open subset of ${\mathbb R}^3$ to clarify its relationship with the corresponding Sobolev spaces. It is shown that for $1< p <\infty$, they coincide, while for $p=1$, the latter spaces are proper subspaces of the former.

math.AP↗