Book Review: Theory of Sobolev multipliers: with applications to differential and integral operators

DOI10.1090/S0273-0979-10-01297-8zbMath1292.00043OpenAlexW2314467451MaRDI QIDQ5494762

Igor E. Verbitsky

Publication date: 29 July 2014

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-10-01297-8

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multipliers for harmonic analysis in several variables (42B15) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) External book reviews (00A17)

Cites Work

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• Multiplier transformations on \(l^{2,\alpha}\)
• Multiplier transformations. II
• Some weighted norm inequalities concerning the Schrödinger operators
• The trace inequality and eigenvalue estimates for Schrödinger operators
• On the existence of capacitary strong type estimates in \(R^n\)
• The uncertainty principle
• Imbedding theorems of Sobolev type in potential theory.
• Form boundedness of the general second‐order differential Operator

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