paper

Improved Sobolev Embedding Theorems for Vector-valued Functions

arXiv:1403.7580

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.

40 pages. To appear in Funkcialaj Ekvacioj 57 (2014)

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