The Dirac-Hardy and Dirac-Sobolev inequalities in L1

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462, Evans, William Desmond and Umeda, Tomio 2011. The Dirac-Hardy and Dirac-Sobolev inequalities in L1. Publications of the Research Institute for Mathematical Sciences 47 (3) , pp. 791-801. 10.2977/PRIMS/51

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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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	Dirac–Sobolev inequalities, Dirac–Hardy inequalities, zero modes, Sobolev inequalities, Hardy inequalities
Publisher:	European Mathematical Society Publishing House
ISSN:	0034-5318
Related URLs:	Publisher
Last Modified:	18 Oct 2022 14:28
URI:	https://orca.cardiff.ac.uk/id/eprint/17605

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