​This book, the result of the authors' long and fruitful collaboration, focuses on integral operators in new, non-standard function spaces and presents a systematic study of the boundedness and compactness properties of basic, harmonic analysis integral operators in the following function spaces, among others: variable exponent Lebesgue and amalgam spaces, variable Holder spaces, variable exponent Campanato, Morrey and Herz spaces, Iwaniec-Sbordone (grand Lebesgue) spaces, grand variable exponent Lebesgue spaces unifying the two spaces mentioned above, grand Morrey spaces, generalized...

Devoted to Lebesgue spaces and their direct derived spaces, this book explores Lebesgue spaces, distribution functions and nonincreasing rearrangement, as well as weak, Lorentz and recent variable exponent and grand Lebesgue spaces with considerable detail to the proofs. It also touches on basic harmonic analysis in the aforementioned spaces.