Functions and Analysis


On Some Isoperimetric Inequalities for Dirichlet Integrals; Green's Function and Dirichlet Integrals

Authors: Saburou Saitoh

In this paper, as a direct application of Q. Guan's result on the conjugate analytic Hardy $H_2$ norm we will derive a new type isoperimetric inequality for Dirichlet integrals of analytic functions.

Comments: 4 Pages. I gave a new type isoperimetric inequality and propose several fundamental open problems.

Download: PDF

Submission history

[v1] 2019-06-09 19:44:28

Unique-IP document downloads: 23 times is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus