Pacific Journal of Mathematics, Volume 194, Number 2

Download This Article
with up-to-date links in citations
	For Screen
	For Printing

Recent Issues

Vol. 243: 1 2

Vol. 242: 1 2

Vol. 241: 1 2

Vol. 240: 1 2

Vol. 239: 1 2

Vol. 238: 1 2

Vol. 237: 1 2

Vol. 236: 1 2

Online Archive

Volume:

Issue:

Volumes 1–176 are stored at Project Euclid

The Journal

Cover Page

Editorial Board

How To

Submissions Guidelines

Submissions Page

Subscriptions

Elect. License Agreement

Test your IP address

Contacts

To Appear

On a sharp Moser–Aubin–Onofri inequality for functions on S² with symmetry

Changfeng Gui & Juncheng Wei

Abstract

We show that for α ≥ 1 2 , the following inequality holds:

α-∫ 1 2 ′ 2 ∫ 1 1∫ 1 2g(x) 2 −1(1− x )|g (x)| dx+ −1g(x)dx − log 2 −1e dx ≥ 0,

for every function g on (−1,1) satisfying ∥g∥² = ∫ ₋₁¹(1 − x²)|g′(x)|²dx < ∞ and ∫ ₋₁¹e^2g(x)xdx = 0. This improves a result of Feldman et al., 1998, and answers a question of Chang and Yang in the axially symmetric case.

Authors

Changfeng Gui
Department of Mathematics University of British Columbia Vancouver, BC V6T 1Z2 Canada

Juncheng Wei
Department of Mathematics The Chinese University of Hong Kong Shatin, Hong Kong China

Vol. 194, No. 2, 2000

Changfeng Gui & Juncheng Wei

Abstract

Authors