Invariant mean-value property and M-harmonicity in the unit ball of R-n | |
Liu, CW ; Shi, JH | |
2003 | |
关键词 | Laplace-Beltrami operator M-harmonic invariant mean-value property |
英文摘要 | In 1993, Ahern, Flores and Rudin showed that, if f is integrable over the unit ball B of B-C(n) of C-n and satisfies integral(BCn) f o psidnu = f(psi(0)) for every psi is an element of Aut(B-C(n)), then f is M-harmonic if and only if n less than or equal to 11. The present paper is about an analogous question in the context of the unit ball B-n of R-n as well as in the weighted setting.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000180848500018&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; Mathematics; SCI(E); 中国科学引文数据库(CSCD); 2; ARTICLE; 1; 187-200; 19 |
语种 | 英语 |
出处 | SCI |
出版者 | acta mathematica sinica english series |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/158036] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Liu, CW,Shi, JH. Invariant mean-value property and M-harmonicity in the unit ball of R-n. 2003-01-01. |
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