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Mathematics - Analysis | Theory of Sobolev Multipliers - With Applications to Differential and Integral Operators (Reviews)

Theory of Sobolev Multipliers

With Applications to Differential and Integral Operators

Maz'ya, Vladimir, Shaposhnikova, Tatyana O.

2009

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From the reviews:

“This very interesting book … collects the multitude of new results in this area, essentially obtained by the authors or inspired by their work during the past thirty years. … This comprehensive monograph is very well written and structured. It will certainly become an extremely useful reference for mathematicians working in functional analysis and in the theories of partial differential, integral, and pseudodifferential operators. … it recommendable both for experts and mathematicians with a wider field of interest.” (Dorothee D. Haroske, Mathematical Reviews, Issue 2010 d)

“The main goal of Sobolev Multipliers is to present complete characterizations and applications of multipliers Mf acting from a Sobolev space … . it will be of interest to a great variety of serious readers, from graduate students to experts in analysis … as well as mathematical physicists, differential geometers, and applied mathematicians. … a valuable reference and guide to the literature, as well as a unique collection of methods and results–indispensable for anyone who is using Sobolev spaces in their work.” (I. E. Verbitsky, Bulletin of the American Mathematical Society, Vol. 48 (1), January, 2011)

 

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