Abstract
AbstractSharp affine fractional$$L^p$$LpSobolev inequalities for functions on$${\mathbb {R}}^n$$Rnare established. The new inequalities are stronger than (and directly imply) the sharp fractional$$L^p$$LpSobolev inequalities. They are fractional versions of the affine$$L^p$$LpSobolev inequalities of Lutwak, Yang, and Zhang. In addition, affine fractional asymmetric$$L^p$$LpSobolev inequalities are established.
Publisher
Springer Science and Business Media LLC
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