Eigenvalues, Embeddings and Generalised Trigonometric Functions (2011) (Lecture Notes in Mathematics #2016)
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- Synopsis
- The main theme of the book is the study, from the standpoint of s-numbers, of integral operators of Hardy type and related Sobolev embeddings. In the theory of s-numbers the idea is to attach to every bounded linear map between Banach spaces a monotone decreasing sequence of non-negative numbers with a view to the classification of operators according to the way in which these numbers approach a limit: approximation numbers provide an especially important example of such numbers. The asymptotic behavior of the s-numbers of Hardy operators acting between Lebesgue spaces is determined here in a wide variety of cases. The proof methods involve the geometry of Banach spaces and generalized trigonometric functions; there are connections with the theory of the p-Laplacian.
- Copyright:
- 2011
Book Details
- Book Quality:
- Publisher Quality
- ISBN-13:
- 9783642184291
- Related ISBNs:
- 9783642182679
- Publisher:
- Springer Berlin Heidelberg
- Date of Addition:
- 07/15/22
- Copyrighted By:
- N/A
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Education, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.
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