Mappings of finite distortion: Compactness.
Mappings of finite distortion: composition operator.
Mappings of finite distortion : discreteness and openness for quasi-light mappings
Mappings of finite distortion: The zero set of the Jacobian
Matrix functions: Taylor expansion, sensitivity and error analysis
Maximal additive and maximal multiplicative family for the family of -Darboux Baire one functions
Maximal monotone relations and the second derivatives of nonsmooth functions
Maxis smoothing operators and some Orlicz classes
Max-min representation of piecewise linear functions.
McShane equi-integrability and Vitali’s convergence theorem
The McShane integral of functions defined on an -dimensional interval is considered in the paper. This integral is known to be equivalent to the Lebesgue integral for which the Vitali convergence theorem holds. For McShane integrable sequences of functions a convergence theorem based on the concept of equi-integrability is proved and it is shown that this theorem is equivalent to the Vitali convergence theorem.
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.
Metric space valued functions of bounded variation
Midpoint convex functions majorized by midpoint concave functions.
Midpoint convex functions majorized by midpoint concave functions. (Short Communication).
Minimal pairs representing selections of four linear functions in .
Modified log-Sobolev inequalities for convex functions on the real line. Sufficient conditions
We provide a mild sufficient condition for a probability measure on the real line to satisfy a modified log-Sobolev inequality for convex functions, interpolating between the classical log-Sobolev inequality and a Bobkov-Ledoux type inequality. As a consequence we obtain dimension-free two-level concentration results for convex functions of independent random variables with sufficiently regular tail decay. We also provide a link between modified log-Sobolev inequalities...
Mond-Weir duality in vector programming with generalized invex functions on differentiable manifolds.
Monotone Valuations on the Space of Convex Functions
We consider the space Cn of convex functions u defined in Rn with values in R ∪ {∞}, which are lower semi-continuous and such that lim|x| } ∞ u(x) = ∞. We study the valuations defined on Cn which are invariant under the composition with rigid motions, monotone and verify a certain type of continuity. We prove integral representations formulas for such valuations which are, in addition, simple or homogeneous.