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Theory of Sobolev Multipliers: With Applications to Differential and Integral Op
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Specificaties
- Objectstaat
- ISBN-13
- 9783642089022
- Book Title
- Theory of Sobolev Multipliers
- ISBN
- 9783642089022
- Publication Year
- 2010
- Series
- Grundlehren Der Mathematischen Wissenschaften Ser.
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Publication Name
- Theory of Sobolev Multipliers : with Applications to Differential and Integral Operators
- Item Length
- 9.3in
- Publisher
- Springer Berlin / Heidelberg
- Item Width
- 6.1in
- Item Weight
- 33.5 Oz
- Number of Pages
- Xiv, 614 Pages
Over dit product
Product Information
The first part of this book offers a comprehensive overview of the theory of pointwise multipliers acting in pairs of spaces of differentiable functions. The second part of the book explores several applications of this theory.
Product Identifiers
Publisher
Springer Berlin / Heidelberg
ISBN-10
364208902x
ISBN-13
9783642089022
eBay Product ID (ePID)
3038747985
Product Key Features
Publication Name
Theory of Sobolev Multipliers : with Applications to Differential and Integral Operators
Format
Trade Paperback
Language
English
Publication Year
2010
Series
Grundlehren Der Mathematischen Wissenschaften Ser.
Type
Textbook
Number of Pages
Xiv, 614 Pages
Dimensions
Item Length
9.3in
Item Width
6.1in
Item Weight
33.5 Oz
Additional Product Features
Series Volume Number
337
Number of Volumes
1 Vol.
Lc Classification Number
Qa299.6-433
Reviews
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 resultsindispensable for anyone who is using Sobolev spaces in their work. (I. E. Verbitsky, Bulletin of the American Mathematical Society, Vol. 48 (1), January, 2011), 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), 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), 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 resultsindispensable for anyone who is using Sobolev spaces in their work. (I. E. Verbitsky, Bulletin of the American Mathematical Society, Vol. 48 (1), January, 2011)
Table of Content
Description and Properties of Multipliers.- Trace Inequalities for Functions in Sobolev Spaces.- Multipliers in Pairs of Sobolev Spaces.- Multipliers in Pairs of Potential Spaces.- The Space M(B m p ? B l p ) with p > 1.- The Space M(B m 1 ? B l 1).- Maximal Algebras in Spaces of Multipliers.- Essential Norm and Compactness of Multipliers.- Traces and Extensions of Multipliers.- Sobolev Multipliers in a Domain, Multiplier Mappings and Manifolds.- Applications of Multipliers to Differential and Integral Operators.- Differential Operators in Pairs of Sobolev Spaces.- Schrödinger Operator and M(w 1 2 ? w ?1 2).- Relativistic Schrödinger Operator and M(W ½ 2 ? W ?½ 2).- Multipliers as Solutions to Elliptic Equations.- Regularity of the Boundary in L p -Theory of Elliptic Boundary Value Problems.- Multipliers in the Classical Layer Potential Theory for Lipschitz Domains.- Applications of Multipliers to the Theory of Integral Operators.
Copyright Date
2009
Topic
Differential Equations / General, Functional Analysis, Mathematical Analysis
Intended Audience
Scholarly & Professional
Illustrated
Yes
Genre
Mathematics
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