Mixed Norm Estimate for Radon Transform on Weighted $L^p$ Spaces

Proceedings Mathematical Sciences

Ashisha Kumar²  Swagato K Ray¹ 

[1] $$;Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur 0 0, India$$

关键词: Radon transform;    mixed norm;    Pitt’s inequality;    Stein–Weiss potential.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We will discuss about the mapping property of Radon transform on $L^p$ spaces with power weight. It will be shown that the Pitt’s inequality together with the weighted version of Hardy–Littlewood–Sobolev lemma imply weighted inequality for the Radon transform.

【 授权许可】

Unknown