Integral Transformations Between Some Function Spaces On Time Scales

TL;DR

This paper introduces specific Banach function spaces on time scales and investigates integral transformations that preserve key properties within these spaces.

Contribution

It defines new function spaces on time scales and analyzes integral transformations that maintain important structural properties.

Findings

Established Banach space structures on time scale function spaces

Analyzed properties of integral transformations within these spaces

Identified key properties preserved by these transformations

Abstract

In this paper we defined some function spaces on time scale which are Banach spaces respect to supremum norm. We study integral transformations which are carry to some important properties between mentioned above function spaces.