An associative law for infinite topological A-tensor product A-algebras
An atomic decomposition of the predual of BMO(ρ).
We study the Orlicz type spaces Hω, defined as a generalization of the Hardy spaces Hp for p ≤ 1. We obtain an atomic decomposition of Hω, which is used to provide another proof of the known fact that BMO(ρ) is the dual space of Hω (see S. Janson, 1980, [J]).
An atomic theory of ergodic spaces
An attempt of characterization of functions with sharp weakly complete epigraphs.
An axiomatic approach to joint spectra I
An axiomatization of the lattice of higher relative commutants of a subfactor.
An elementary approach to some applications of nonstandard analysis
An elementary approach to some questions in higher order smoothness in Banach spaces.
An Elementary Characterization of Absolutely Summing Operators.
An elementary construction on nonlinear coherent states associated to generalized Bargmann spaces.
An elementary proof of a theorem on sublattices of finite codimension
This paper presents an elementary proof and a generalization of a theorem due to Abramovich and Lipecki, concerning the nonexistence of closed linear sublattices of finite codimension in nonatomic locally solid linear lattices with the Lebesgue property.
An elementary proof of Komlós-Révész theorem in Hilbert spaces.
An elementary proof of Marcellini Sbordone semicontinuity theorem
The weak lower semicontinuity of the functional is a classical topic that was studied thoroughly. It was shown that if the function is continuous and convex in the last variable, the functional is sequentially weakly lower semicontinuous on . However, the known proofs use advanced instruments of real and functional analysis. Our aim here is to present a proof understandable even for students familiar only with the elementary measure theory.
An elementary theory of hyperfunctions and microfunctions
An elliptic semilinear equation with source term involving boundary measures: the subcritical case.
We study the boundary behaviour of the nonnegative solutions of the semilinear elliptic equation in a bounded regular domain Ω of RN (N ≥ 2),⎧ Δu + uq = 0, in Ω⎨⎩ u = μ, on ∂Ωwhere 1 < q < (N + 1)/(N - 1) and μ is a Radon measure on ∂Ω. We give a priori estimates and existence results. The lie on the study of superharmonic functions in some weighted Marcinkiewicz spaces.
An embedding norm and the Lindqvist trigonometric functions.
An embedding of Schwartz distributions in the algebra of asymptotic functions.
An embedding of the algebra of order bounded operators on a Dedekind complete Banach lattice.
An embedding theorem for a weighted space of Sobolev type and correct solvability of the Sturm-Liouville equation
An embedding theorem for Campanato spaces.