Applications Of Orlicz Spaces [Hardback]

Rao (mathematics, U. of California at Riverside, USA) and Ren (mathematics, Suzhou U., China), following up on their general account of Orlicz spaces from 1991, offer a discussion of important applications in which the theory of Orlicz spaces play a role. These include specific results with the underlying measure spaces restricted to purely discrete or purely diffuse cases and also concentrating on subclasses of N -functions from general Young functions. The authors consider various properties of Orlicz sequence and function spaces useful for current and future applications. They present aspects of quantitative geometry, specialized from the general Banach space theory, from Orlicz sequence and function spaces. Other applications include Fourier analysis; the analysis of large deviations of probability theory and exponential (vector) Orlicz spaces; prediction analysis including work on vector valued functions and nonreflexive Orlicz spaces; and Orlicz-Sobolev spaces for removable singularities, extensions of Hardy-Littlewood type inequalities, and continuity properties of composition. Annotation c. Book News, Inc., Portland, OR (booknews.com)