Improved Sobolev Embedding Theorems for Vector-valued Functions
Mathematical Physics
2016-08-11 v2 Analysis of PDEs
math.MP
Abstract
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.
Cite
@article{arxiv.1403.7580,
title = {Improved Sobolev Embedding Theorems for Vector-valued Functions},
author = {Takashi Ichinose and Yoshimi Saitō},
journal= {arXiv preprint arXiv:1403.7580},
year = {2016}
}
Comments
40 pages. To appear in Funkcialaj Ekvacioj 57 (2014)