If the space of all real-valued functions of bounded variation on a real closed interval is endowed with the topology of simple convergence, then every bounded subset which is bounded for the values ...

J. Ciemnoczolowski and W. Orlicz in [1] have obtained some results concerning superpositions of functions of bounded φ-variation. In this note we show that the assumption in Theorem 1 of [1] that ψ ...

Maximal operators occupy a central role in modern analysis, serving as indispensable tools in understanding the local behaviour of functions. At their core, these operators assign to each point the ...