On a semigroup of modular functions with involution.
On a set in under coordinate transformations
On a Singular Value Problem for the Fractional Laplacian on the Exterior of the Unit Ball
2000 Mathematics Subject Classification: Primary 26A33; Secondary 47G20, 31B05We study a singular value problem and the boundary Harnack principle for the fractional Laplacian on the exterior of the unit ball.
On a strengthened Hardy-Hilbert inequality.
On a subclass of the family of Darboux functions
We investigate functions f: I → ℝ (where I is an open interval) such that for all u,v ∈ I with u < v and f(u) ≠ f(v) and each c ∈ (min(f(u),f(v)),max(f(u),f(v))) there is a point w ∈ (u,v) such that f(w) = c and f is approximately continuous at w.
On a superadditivity property of Gram's determinant.
On a symmetric divergence measure and information inequalities.
On a system of functional equations.
On a theorem of B. Barna.
On a theorem of Holický and Zelený concerning Borel maps without -compact fibers
The paper is concerned with a recent very interesting theorem obtained by Holický and Zelený. We provide an alternative proof avoiding games used by Holický and Zelený and give some generalizations to the case of set-valued mappings.
On a Theorem of M. Vuilleumier
On a theorem of Popa and Noiri on multifunctions
On a time-dependent subdifferential evolution inclusion with a nonconvex upper-semicontinuous perturbation.
On a typical property of functions
On a uniformly integrable family of polynomials defined on the unit interval.
On a useful economy in the formation of Riemann sums
On a Variant of the Gagliardo-Nirenberg Inequality Deduced from the Hardy Inequality
We obtain new variants of weighted Gagliardo-Nirenberg interpolation inequalities in Orlicz spaces, as a consequence of weighted Hardy-type inequalities. The weights we consider need not be doubling.
On a variant of the Hardy inequality between weighted Orlicz spaces
Let M be an N-function satisfying the Δ₂-condition, and let ω, φ be two other functions, with ω ≥ 0. We study Hardy-type inequalities , where u belongs to some set of locally absolutely continuous functions containing . We give sufficient conditions on the triple (ω,φ,M) for such inequalities to be valid for all u from a given set . The set may be smaller than the set of Hardy transforms. Bounds for constants are also given, yielding classical Hardy inequalities with best constants.
On a ?-Wright convexity and the converse of Minkowsi's inequality.
On absolutely kth continuous functions