Search
Search Results
-
Rearrangement Inequalities with Application to Ratios of Heat Kernels
We prove rearrangement inequalities for multiple integrals, using the polarization technique. Polarization refers to rearranging a function with...
-
Localizable Functionals
Let (X,Σ, µ) be a σ-finite measure space, and let F be a space of nonnegative Σ-measurable functions. Conditions under which a nonnegativevalued...
-
Expected Shortfall and Beyond
Financial institutions have to allocate so-called economic capital in order to guarantee solvency to their clients and counterparties. Mathematically...
-
-
Weighted Subspaces of Hardy Spaces and and Bloch Functions
For f holomorphic in D and for 0 < p ≤ 1,we let $$ {A_P}(f) = {\text{...
-
Radon—Nikodym Theorem in L∞
We prove that for any given set function F which satisfies F(∪ A i ) =sup i F(A i ) and F(A)=-∈fty if meas (A)=0 , there must exist a measurable function g ...
-
Measure and integration: comparison of old and new procedures
The article first summarizes the new development in measure and integration as presented in the recent monograph of the author 1997, with certain...
-
On a Class of Functionals Whose Local Minima are Global
In this note we introduce a suitable class of functionals, including the class of integral functionals, and prove that any (strict) local minimum of...
-
-
-
-
-
-
-
-
-
-
-
-