Some weighted multidimensional Berwald, Thunsdorff and Borell inequalities.
Spaces defined by the level function and their duals
The classical level function construction of Halperin and Lorentz is extended to Lebesgue spaces with general measures. The construction is also carried farther. In particular, the level function is considered as a monotone map on its natural domain, a superspace of . These domains are shown to be Banach spaces which, although closely tied to spaces, are not reflexive. A related construction is given which characterizes their dual spaces.
Squaring a reverse AM-GM inequality
Let A, B be positive operators on a Hilbert space with 0 < m ≤ A, B ≤ M. Then for every unital positive linear map Φ, Φ²((A + B)/2) ≤ K²(h)Φ²(A ♯ B), and Φ²((A+B)/2) ≤ K²(h)(Φ(A) ♯ Φ(B))², where A ♯ B is the geometric mean and K(h) = (h+1)²/(4h) with h = M/m.
Steffensen pairs and associated inequalities.
Steffensen's integral inequality on time scales.
Stolarsky means of several variables.
Subadditive functions and partial converses of Minkowski's and Mulholland's inequalities
Let ϕ be an arbitrary bijection of . We prove that if the two-place function is subadditive in then must be a convex homeomorphism of . This is a partial converse of Mulholland’s inequality. Some new properties of subadditive bijections of are also given. We apply the above results to obtain several converses of Minkowski’s inequality.
Subharmonic functions and their Riesz measure.
Sulla diseguaglianza di Wirtinger
Superposition of imbeddings and Fefferman's inequality
In questo lavoro si studiano condizioni sufficienti sulla funzione peso , espresse in termini di integrabilità, per la validità della disuguaglianza dove denota una sfera in . Usando una tecnica di decomposizione di immersioni si dimostrano condizioni sufficienti in termini di appartenenza a spazi di Lebesgue, Lorentz-Orlicz e/o di tipo debole. Come applicazioni vengono fornite condizioni sufficienti per la proprietà forte di prolungamento unico per nelle dimensioni 2 e 3.
Supplements to known monotonicity results and inequalities for the gamma and incomplete gamma functions.
Sur Certaines Inégalités Intégrales Et Leurs Applications
Sur Certaines Inégalités Particulières
Sur certaines inégalitiés intégrales et leurs applications.
Symmetrization and sharp Sobolev inequalities in metric spaces.