Asymmetric convexification and the convex Lorentz-Sobolev inequality

作者：Ober Michael^*

来源：Monatshefte fur Mathematik, 2016, 179(1): 113-127.

DOI：10.1007/s00605-015-0760-5

• Asymmetric Lp convexification
• Asymmetric convex Lorentz-Sobolev inequality
• Asymmetric Polya-Szego principle

An asymmetric version of the concept of convexification of level sets is obtained for piecewise affine functions. Applications to the anisotropic convex Lorentz-Sobolev inequality and the anisotropic Plya-Szego principle are discussed.

• 出版日期2016-1