2 papers
math.SP2007
Improved Hardy-Sobolev inequalities
A. Balinsky, W. D. Evans, D. Hundertmark +1
The main result includes features of a Hardy-type inequality and an inequality of either Sobolev or Gagliardo-Nirenberg type. It is inspired by the method of proof of a recent impr…
math-ph1999
Semi-classical asymptotics for the counting functions and Riesz means of Pauli and Dirac operators with large magnetic fields
A. A. Balinsky, W. D. Evans, Roger T. Lewis
We study the asymptotic behavior, as Planck's constant , of the number of discrete eigenvalues and the Riesz means of Pauli and Dirac operators with a magnetic field $μ…