In this paper we give an overview of mapping, continuity and boundedness properties of
nonlinear composition operators of type Hf (t):= h (f (t)) or Hf (t):= h (t, f (t)) in the function …

Functions of bounded variation are most important in many fields of mathe¬ matics. This
thesis investigates spaces of functions of bounded variation with one variable of various …

Czechoslovak Mathematical Journal Page 1 Czechoslovak Mathematical Journal Nelson
Merentes; Sergio Rivas On characterization of the Lipschitzian composition operator between …

We give a necessary and sufficient condition on a function f: R → R under which the
composition operator (Nemytskij operator) F defined by Fh= f ∘ h acts in the spaces BV_ φ a …

The paper is devoted to the autonomous Nemytskij operator (superposition operator) in
Holder spaces H 0 [a, b],(k, a) ex (0, 1]. We study acting, continuity, Lipschitz continuity, and …

We prove that if the composition operator F generated by a function f:[a, b]× ℝ→ ℝ maps the
space of bounded (p, k)-variation in the sense of Riesz-Popoviciu, p≥ 1, k an integer …

In this paper we introduce the concept of bounded variation for functions defined on compact
subsets of the complex plane C, based on the notion of variation along a curve as defined by …

In this paper we consider the so called composition operator being a self-mapping of the
Banach algebra of the function of two variables with bounded total Φ-variation in the …

Functions of bounded variation are fascinating mathematical objects which, since their
definition by C. Jordan more than a century ago, have found much attention in real analysis …

In this paper we prove that if a Nemytskij composition operator, generated by a function of
three variables in which the third variable is a function one, maps a suitable large subset of …