Hardy and Caffarelli-Kohn-Nirenberg inequalities with nonradial weights

Abstract

We study the Hardy type inequalities and Caffarelli-Kohn-Nirenberg type inequalities with nonradial weights of the form $| x_1| ^{A_1}\cdots| x_N| ^{A_N}/ |x| ^{\lambda}$.

Keywords

• hardy inequality
• caffarelli-kohn-nirenberg inequality
• monomial weight
• radial derivation
• best constant