Variable Lebesgue Spaces Foundations and Harmonic Analysis

From the reviews:

“This book is eminently well suited to graduate students who have had standard courses in Lebesgue integration and functional analysis … . this is a timely and exceedingly well-written book regarding variable Lebesgue spaces––one that provides the reader with fundamental analytic tools in the subject, an introduction to harmonic analysis on variable Lebesgue spaces, and a clear orientation on where to go to engage in profitable research in this rapidly developing area of analysis.” (Paul Alton Hagelstein, Mathematical Reviews, September, 2013)