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The monograph systematically explores the concept of multipliers acting between Sobolev spaces, Bessel potential spaces, Besov spaces, and related function spaces. A multiplier, in this context, is a function that defines a bounded linear mapping between two function spaces through pointwise multiplication. The authors provide comprehensive characterizations of these multipliers, discuss trace inequalities, and examine the relationships between spaces of Sobolev multipliers and other function spaces. The book also presents several applications to analysis, partial differential equations, and integral equations.

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245: $a: Theory of Sobolev Multipliers With Applications to Differential and Integral Operators
245: $b:
082: $a:
100: $a: Vladimir G. Maz'ya &Tatyana O. Shaposhnikova
650: $a: Mathematics
250: $a:
440: $v:
250: $b: Springer
250: $c: 2009
020: $a: 978-3-540-69490-8
300: $a: 615