Restricting Riesz–Logarithmic-Gagliardo–Lipschitz Potentials  

作　　者：Xinting Hu Liguang Liu 

机构地区：[1]School of Mathematics,Renmin University of China,Beijing 100872,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2025年第1期131-148,共18页数学学报(英文版)

基　　金：Supported by the National Natural Science Foundation of China (Grant No. 12371102)。

摘　　要：For s∈[0,1],b∈R and p∈[1,∞),let˙B_ (p,∞)^(s,b)(R^(n))be the logarithmic-Gagliardo–Lipschitz space,which arises as a limiting interpolation space and coincides to the classical Besov space when b=0 and s∈(0,1).In this paper,the authors study restricting principles of the Riesz potential space I_(α)(˙B _(p,∞)^(s,b)(R^(n)))into certain Radon–Campanato space.

关 键 词：Riesz potential Besov space logarithmic-Gagliardo–Lipschitz space Campanato space Morrey space restricting principle 

分 类 号：O174[理学—数学]