Includes reviews of real analysis and an extensive treatment of Lebesgue spaces.Develops at length the intrinsic definition and properties of Sobolev spaces, in particular their imbedding, compact imbedding, interpolation and extension properties.Provides a thorough treatment of the real interpolation method and its application to Lorentz and Besov spaces. Includes surveys of other fractional-order spaces (Bessel potentials, Triebel-Lizorkin).Develops the theory of Orlicz and Orlicz-Sobolev spaces and their imbeddings.
