Provides an account of fractional Sobolev spaces emphasising applications to famous inequalities. Ideal for graduates and researchers.

This book provides a gentle introduction to fractional Sobolev spaces which play a central role in the calculus of variations, partial differential equations, a

Concentration compactness is an important method in mathematical analysis which has been widely used in mathematical research for two decades. This unique volum

There are several generalizations of the classical theory of Sobolev spaces as they are necessary for the applications to Carnot-Caratheodory spaces, subellipti

The field of variable exponent function spaces has witnessed an explosive growth in recent years. The standard reference article for basic properties is already