A new perspective on the Riesz potential

Advances in Nonlinear Analysis

article

Jie Xiao¹ 

[1] Department of Mathematics and Statistics, Memorial University

关键词: Riesz potential;    Radon measure;    Morrey and Campanato spaces;   

DOI  :  10.1515/anona-2015-0183

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

This paper offers a new perspective to look at the Riesz potential. On the one hand, it is shown that not only ?q,q⁢p-1⁢(n-α⁢p)∩?p,κ-α⁢p\mathfrak{L}^{q,qp^{-1}(n-\alpha p)}\cap\mathfrak{L}^{p,\kappa-\alpha p} contains Iα⁢Lp,κ{I_{\alpha}L^{p,\kappa}} under the conditions 1

【 授权许可】

CC BY