Two-weight weak-type inequalities for potential type operators

Citation metadata

Date: Sept. 2008
Publisher: Springer
Document Type: Report
Length: 128 words

Document controls

Main content

Abstract :

Byline: Wen-ming Li (1), Jin-yun Qi (2), Ya-jing Zhang (3) Keywords: 42B20; 42B25; potential type operators; weight; weak type inequality Abstract: For the potential type operator T.sub.[PHI] f(x) = .sub.R.sup.n [PHI] (x - y)f(y)dy, where I| is a non-negative locally integrable function on R.sup.n and satisfies weak growth condition, a two-weight weak-type (p,q) inequality for T .sub.I| is obtained. Author Affiliation: (1) College of Math. and Inform. Sci., Hebei Normal Univ., Shijiazhuang, 050016, China (2) Dept. of Math., Langfang Normal College, Langfang, 065000, China (3) College of Sci., Agricultural Univ. of Hebei, Baoding, 071001, China Article History: Registration Date: 05/09/2008 Received Date: 25/12/2007 Online Date: 07/09/2008 Article note: Supported by the National Natural Science Foundation of China (10771049 60773174) and the Natural Science Foundation of Hebei Province (08M001)

Source Citation

Source Citation   

Gale Document Number: GALE|A228105532