Maximal monotone relations and the second derivatives of nonsmooth functions
Maxis smoothing operators and some Orlicz classes
Measurability of real functions defined on the product of metric spaces
Measure-preserving quality within mappings.
In [6], Guy David introduced some methods for finding controlled behavior in Lipschitz mappings with substantial images (in terms of measure). Under suitable conditions, David produces subsets on which the given mapping is bilipschitz, with uniform bounds for the bilipschitz constant and the size of the subset. This has applications for boundedness of singular integral operators and uniform rectifiability of sets, as in [6], [7], [11], [13]. Some special cases of David's results, concerning projections...
Méthodes de transformation fondées sur la conservation d'une relation invariable entre les dérivées de même ordre.