In this paper,we get W 1,p(Rn)-boundedness for tangential maximal func-tion and nontangential maximal function,which improves J.Kinnunen,P.Lindqvist and Tananka’s results.
Our aim in this note is to deal with boundary limits of monotone Sobolev functions with Δu∈Lp（·）logLq（·）（B）for the unit ball B Rn.Here p（·） and q（·） are variable exponents satisfying t...Our aim in this note is to deal with boundary limits of monotone Sobolev functions with Δu∈Lp（·）logLq（·）（B）for the unit ball B Rn.Here p（·） and q（·） are variable exponents satisfying the log-H61der and the log log-H61der conditions, respectively.展开更多
基金Supported by the key Academic Discipline of Zhejiang Province of China under Grant No.2005the Zhejiang Provincial Natural Science Foundation of China
文摘In this paper,we get W 1,p(Rn)-boundedness for tangential maximal func-tion and nontangential maximal function,which improves J.Kinnunen,P.Lindqvist and Tananka’s results.
基金supported by Grant-in-Aid for Scientific Research (C) (Grant No. 21540183)Japan Society for the Promotion of Science
文摘Our aim in this note is to deal with boundary limits of monotone Sobolev functions with Δu∈Lp（·）logLq（·）（B）for the unit ball B Rn.Here p（·） and q（·） are variable exponents satisfying the log-H61der and the log log-H61der conditions, respectively.
