An analysis of a wide class of integral transforms with product kernels from the two-weighted boundedness point of view. This book discusses weighted integral in-equalities for monotonic functions of several variables.

Suitbale for researchers in BVPs of function theory and mathematical physics, this title presents the boundary value problems (BVPs) for analytic and harmonic functions in domains with non-smooth boundaries within the framework of non-standard Banach function spaces, namely, variable exponent Lebesgue spaces and grand Lebesgue spaces.

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 Hölder 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 grand...