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Rearrangements in Metric Spaces and in the Heisenberg Group.

Authors :
Monti, Roberto
Source :
Journal of Geometric Analysis; Oct2014, Vol. 24 Issue 4, p1673-1715, 43p
Publication Year :
2014

Abstract

We prove several rearrangement theorems in the setting of a metric measure space. We adapt the general scheme of the argument to the Heisenberg group, where we study Steiner and circular rearrangement for functions and sets having a suitable symmetry. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10506926
Volume :
24
Issue :
4
Database :
Complementary Index
Journal :
Journal of Geometric Analysis
Publication Type :
Academic Journal
Accession number :
98420403
Full Text :
https://doi.org/10.1007/s12220-013-9391-z