On weighted dyadic Carleson's inequalities.
On weighted Hadamard-type singular integrals and their applications.
On weighted Hardy and Poincaré-type inequalities for differences.
On weighted Hardy inequalities on semiaxis for functions vanishing at the endpoints.
On weighted inequalities with geometric mean operator generated by the Hardy-type integral transform.
On weighted inequality of Hardy type for higher order derivatives
On weighted norm integral inequality of g. h. Hardy's type
On weighted Ostrowski type inequalities for operators and vector-valued functions.
On Whitney pairs
A simple arc ϕ is said to be a Whitney arc if there exists a non-constant function f such that for every . G. Petruska raised the question whether there exists a simple arc ϕ for which every subarc is a Whitney arc, but for which there is no parametrization satisfying . We answer this question partially, and study the structural properties of possible monotone, strictly monotone and VBG* functions f and associated Whitney arcs.
On Young's inequality.
On Zeros of Polynomials of Best Approximation to Holomorphic and C... Functions.
On -continuous functions
Classes of functions continuous in various senses, in particular -continuous, -continuous, feeblz continuous a.o., and relations between the classes, are studied.
On Λ-bounded variation
On -discrete Borel mappings via quasi-metrics
On -porous sets in abstract spaces.
On ω-approximately continuous Denjoy-Steiltjes integral
On ω-convex functions
In Orlicz spaces theory some strengthened version of the Jensen inequality is often used to obtain nice geometrical properties of the Orlicz space generated by the Orlicz function satisfying this inequality. Continuous functions satisfying the classical Jensen inequality are just convex which means that such functions may be described geometrically in the following way: a segment joining every pair of points of the graph lies above the graph of such a function. In the current paper we try to obtain...
One method for proving inequalities by computer.
One-Sided Littlewood-Paley Theory.
Open mapping theorem and inversion theorem for γ-paraconvex multivalued mappings and applications
We extend the open mapping theorem and inversion theorem of Robinson for convex multivalued mappings to γ-paraconvex multivalued mappings. Some questions posed by Rolewicz are also investigated. Our results are applied to obtain a generalization of the Farkas lemma for γ-paraconvex multivalued mappings.