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Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations
Sergei Tikhonov
:
Centre de Recerca Matemática, Barcelona, Spain and Universitat Autónoma de Barcelona, Barcelona, Spain
| Softcover ISBN: | 978-1-4704-5538-5 |
| Product Code: | MEMO/282/1393 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-7349-5 |
| Product Code: | MEMO/282/1393.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-5538-5 |
| eBook: ISBN: | 978-1-4704-7349-5 |
| Product Code: | MEMO/282/1393.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations
Sergei Tikhonov
:
Centre de Recerca Matemática, Barcelona, Spain and Universitat Autónoma de Barcelona, Barcelona, Spain
| Softcover ISBN: | 978-1-4704-5538-5 |
| Product Code: | MEMO/282/1393 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-7349-5 |
| Product Code: | MEMO/282/1393.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-5538-5 |
| eBook ISBN: | 978-1-4704-7349-5 |
| Product Code: | MEMO/282/1393.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 282; 2023; 166 ppMSC: Primary 46; 42; 26
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Table of Contents
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Chapters
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1. Introduction
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2. Preliminaries
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3. Embeddings between Besov, Sobolev and Triebel-Lizorkin spaces with logarithmic smoothness
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4. Characterizations and embedding theorems for general monotone functions
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5. Characterizations and embedding theorems for lacunary Fourier series
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6. Optimality of Propositions 1.2 and 1.3
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7. Optimality of embeddings between Sobolev and Besov spaces with smoothness close to zero
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8. Comparison between different kinds of smoothness spaces involving only logarithmic smoothness
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9. Optimality of embeddings between Besov spaces
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10. Various characterizations of Besov spaces
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11. Besov and Bianchini norms
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12. Functions and their derivatives in Besov spaces
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13. Lifting operators in Besov spaces
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14. Regularity estimates of the fractional Laplace operator
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A. List of symbols
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 282; 2023; 166 pp
MSC: Primary 46; 42; 26
-
Chapters
-
1. Introduction
-
2. Preliminaries
-
3. Embeddings between Besov, Sobolev and Triebel-Lizorkin spaces with logarithmic smoothness
-
4. Characterizations and embedding theorems for general monotone functions
-
5. Characterizations and embedding theorems for lacunary Fourier series
-
6. Optimality of Propositions 1.2 and 1.3
-
7. Optimality of embeddings between Sobolev and Besov spaces with smoothness close to zero
-
8. Comparison between different kinds of smoothness spaces involving only logarithmic smoothness
-
9. Optimality of embeddings between Besov spaces
-
10. Various characterizations of Besov spaces
-
11. Besov and Bianchini norms
-
12. Functions and their derivatives in Besov spaces
-
13. Lifting operators in Besov spaces
-
14. Regularity estimates of the fractional Laplace operator
-
A. List of symbols
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.