The application of fractional calculus-based mathematical models in physics is a well-
established practice. However, a challenge arises due to the variety of fractional operators …

Composition Operators on Function Spaces with Fractional Order of Smoothness (Harmonic
Analysis and Nonlinear Partial Differenti Page 1 RIGHT: URL: CITATION: AUTHOR(S): ISSUE …

We analyse and characterise the notion of lattice Lipschitz operator when defined between
Banach function spaces. After showing some general results, we restrict our attention to the …

In this paper, we study a certain Banach space J α, β, chosen to have two properties. First,
we prove that it is a Banach algebra due to point multiplication and consists of bounded …

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 …

We present an application-oriented approach to Urysohn and Hammerstein integral
operators acting between spaces of Hölder continuous functions over compact metric …

The main goal of this paper is to give an answer to the main problem of the theory of
nonautonomous superposition operators acting in the space of functions of bounded …

In this paper, we study the problem of the uniqueness of fixed points for operators defined on
subspaces of the space of continuous functions C [a, b] equipped with norms stronger than …

Given a Banach lattice $ L, $ the space of lattice Lipschitz operators on $ L $ has been
introduced as a natural Lipschitz generalization of the linear notions of diagonal operator …

In the first part of this paper we investigate four types of convergence of sequences of
functions in metric spaces which preserve continuity. Besides a consideration of locally …