Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615651 | Journal of Mathematical Analysis and Applications | 2015 | 21 Pages |
Abstract
A version of Young's inequality for convolution is introduced and employed to some topics in convex- and set-valued analysis. The following problems are considered: uniform equivalence of metrics for convex subsets of the Euclidean space, the regularity of set-valued mappings and the continuity of the Funk–Radon transform. Also an isoperimetric inequality based on Young's inequality is introduced.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jacek Sadowski,