Article thumbnail

The Dirac-Hardy and Dirac-Sobolev inequalities in L1

By Alexander Balinsky, William Desmond Evans and Tomio Umeda

Abstract

Dirac-Sobolev and Dirac-Hardy inequalities in L1 are established in which the Lp spaces which feature in the classical Sobolev and Hardy inequalities are replaced by weak Lp spaces. Counter examples to the analogues of the classical inequalities are shown to be provided by zero modes for appropriate Pauli operators constructed by Loss and Yau

Topics: QA Mathematics
Publisher: European Mathematical Society Publishing House
Year: 2011
DOI identifier: 10.2977/PRIMS/51
OAI identifier: oai:http://orca.cf.ac.uk:17605
Provided by: ORCA
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://dx.doi.org/10.2977/PRIM... (external link)
  • http://orca.cf.ac.uk/17605/ (external link)
  • http://orca.cf.ac.uk/view/card... (external link)
  • http://orca.cf.ac.uk/view/card... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.