Wang, T. (2012). The affine Sobolev–Zhang inequality on BV(ℝn). Advances in Mathematics, 230(4–6), 2457–2473. https://doi.org/10.1016/j.aim.2012.04.022
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
-
Journal:
Advances in Mathematics
-
ISSN:
0001-8708
-
Date (published):
2012
-
Number of Pages:
17
-
Publisher:
ACADEMIC PRESS INC ELSEVIER SCIENCE
-
Peer reviewed:
Yes
-
Keywords:
General Mathematics; Sets of finite perimeter; The affine Sobolev–Zhang inequality; The Petty projection ienquality
en
Abstract:
The affine Sobolev–Zhang inequality is extended to BV(ℝⁿ), the space of functions of bounded variation on ℝⁿ , and the equality cases are characterized. As a consequence, the Petty projection inequality for sets of finite perimeter, which implies the isoperimetric inequality for sets of finite perimeter, is established.
en
Research Areas:
außerhalb der gesamtuniversitären Forschungsschwerpunkte: 100%
