On variable Lebesgue spaces
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
The reader will recall that the classical
The task of developing such a theory was first taken up by Wladyslaw Orlicz in the 1930's. The theory he developed, of which variable Lebesgue spaces are a special case, was only intermittently studied and analyzed through the end of the century. However, at the turn of the millennium, several results and their applications sparked a focused and intense interest in variable
In this paper, we wish to explore both of the aforementioned directions of research. We will first establish the fundamentals for variable