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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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