Journal of Inequalities and Applications
Volume 6 (2001), Issue 1, Pages 29-36
Some remarks on Kato’s inequality
Department of Mathematical Sciences, Ibaraki University, Mito, Ibaraki 310, Japan
Received 30 August 1999; Revised 4 November 1999
Copyright © 2001 Toshio Horiuchi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Let and . Let be a domain of . In this article we shall establish Kato’s inequalities for -harmonic operators . Here is defined as for , where is an admissible class. If for example, then we have . Then we shall prove that and in with . These inequalities are called Kato’s inequalities provided that .