On factorization of Fefferman's inequality
On fine properties of mixtures with respect to concentration of measure and Sobolev type inequalities
Mixtures are convex combinations of laws. Despite this simple definition, a mixture can be far more subtle than its mixed components. For instance, mixing gaussian laws may produce a potential with multiple deep wells. We study in the present work fine properties of mixtures with respect to concentration of measure and Sobolev type functional inequalities. We provide sharp Laplace bounds for Lipschitz functions in the case of generic mixtures, involving a transportation cost diameter of the mixed...
On finitely generated closed ideals in
Assume a finite set of functions in , the space of bounded analytic functions on the open unit disc. We give a sufficient condition on a function in to belong to the norm-closure of the ideal generated by , namely the propertyfor some function : satisfying The main feature in the proof is an improvement in the contour-construction appearing in L. Carleson’s solution of the corona-problem. It is also shown that the propertyfor some constant , does not necessary imply that is...
On Fourier coefficients and factorable operators.
On Function Spaces of Variable Order of Differentiation.
On functions of bounded (p,2)-variation.
On functions of integrable mean oscillation.
On functions with bounded mixed variance
On Gardings inequality.
On general Lipschitzian kernels.
On generalized Bergman spaces
Let D be the open unit disc and μ a positive bounded measure on [0,1]. Extending results of Mateljević/Pavlović and Shields/Williams we give Banach-space descriptions of the classes of all harmonic (holomorphic) functions f: D → ℂ satisfying .
On generalized Moser-Trudinger inequalities without boundary condition
We give a version of the Moser-Trudinger inequality without boundary condition for Orlicz-Sobolev spaces embedded into exponential and multiple exponential spaces. We also derive the Concentration-Compactness Alternative for this inequality. As an application of our Concentration-Compactness Alternative we prove that a functional with the sub-critical growth attains its maximum.
On generalized variations (II)
On global approximation properties of abstract integral operators in Orlicz spaces and applications.
On Grothendieck spaces of type C(K)
On Hadamard-Dirichlet algebras.
On Hardy type inequality with non-isotropic kernels.
On Hardy's inequality in .
On harmonic conjugates with exponential mean growth
On -harmonic space .