On Some Difference Inequalities
A Note on Weighten Integrals of Analytic Functions
A Generalization of Pachpatte Difference Inequalities
Asymptotic behavior of a sequence defined by iteration with applications
We consider the asymptotic behavior of some classes of sequences defined by a recurrent formula. The main result is the following: Let f: (0,∞)² → (0,∞) be a continuous function such that (a) 0 < f(x,y) < px + (1-p)y for some p ∈ (0,1) and for all x,y ∈ (0,α), where α > 0; (b) uniformly in a neighborhood of the origin, where m > 1, ; (c) . Let x₀,x₁ ∈ (0,α) and , n ∈ ℕ. Then the sequence (xₙ) satisfies the following asymptotic formula: .
Composition operators from weighted Bergman-Privalov spaces to Zygmund type spaces on the unit disk
We characterize the boundedness and compactness of composition operators from weighted Bergman-Privalov spaces to Zygmund type spaces on the unit disk.
On an integral-type operator from Zygmund-type spaces to mixed-norm spaces on the unit ball.
Asymptotic behaviour of a sequence defined by iteration.
On monotone solutions of some classes of difference equations.
Weighted integrals of holomorphic functions in the unit polydisc.
Composition operators from the weighted Bergman space to the th weighted spaces on the unit disc.
Weighted differentiation composition operators from the mixed-norm space to the th weigthed-type space on the unit disk.
Compactness of the Hardy-Littlewood operator on some spaces of harmonic functions.
Boundedness and compactness of an integral operator between and a mixed norm space on the polydisk.
Integral-type operators from a mixed norm space to a Bloch-type space on the unit ball.
Weighted iterated radial composition operators between some spaces of holomorphic functions on the unit ball.
Products of integral-type operators and composition operators from the mixed norm space to Bloch-type spaces.
On Bloch-type functions with Hadamard gaps.
Weighted composition operators between mixed norm spaces and spaces in the unit ball.
On the recursive sequence .
Asymptotics of some classes of higher-order difference equations.
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