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Hardy-Littlewood and Ulyanov Inequalities
| Softcover ISBN: | 978-1-4704-4758-8 |
| Product Code: | MEMO/271/1325 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-6628-2 |
| Product Code: | MEMO/271/1325.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-4758-8 |
| eBook: ISBN: | 978-1-4704-6628-2 |
| Product Code: | MEMO/271/1325.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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Hardy-Littlewood and Ulyanov Inequalities
| Softcover ISBN: | 978-1-4704-4758-8 |
| Product Code: | MEMO/271/1325 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-6628-2 |
| Product Code: | MEMO/271/1325.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-4758-8 |
| eBook ISBN: | 978-1-4704-6628-2 |
| Product Code: | MEMO/271/1325.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: 271; 2021; 118 ppMSC: Primary 41; 42; 26; Secondary 46
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Table of Contents
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Chapters
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Basic notation
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1. Introduction
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2. Auxiliary results
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3. Polynomial inequalities of Nikol’skii–Stechkin–Boas–types
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4. Basic properties of fractional moduli of smoothness
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5. Hardy–Littlewood–Nikol’skii inequalities for trigonometric polynomials
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6. General form of the Ulyanov inequality for moduli of smoothness, $K$-functionals, and their realizations
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7. Sharp Ulyanov inequalities for $K$-functionals and realizations
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8. Sharp Ulyanov inequalities for moduli of smoothness
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9. Sharp Ulyanov inequalities for realizations of $K$-functionals related to Riesz derivatives and corresponding moduli of smoothness
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10. Sharp Ulyanov inequality via Marchaud inequality
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11. Sharp Ulyanov and Kolyada inequalities in Hardy spaces
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12. $(L_p,L_q)$ inequalities of Ulyanov-type involving derivatives
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13. Embedding theorems for function spaces
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List of symbols
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 271; 2021; 118 pp
MSC: Primary 41; 42; 26; Secondary 46
-
Chapters
-
Basic notation
-
1. Introduction
-
2. Auxiliary results
-
3. Polynomial inequalities of Nikol’skii–Stechkin–Boas–types
-
4. Basic properties of fractional moduli of smoothness
-
5. Hardy–Littlewood–Nikol’skii inequalities for trigonometric polynomials
-
6. General form of the Ulyanov inequality for moduli of smoothness, $K$-functionals, and their realizations
-
7. Sharp Ulyanov inequalities for $K$-functionals and realizations
-
8. Sharp Ulyanov inequalities for moduli of smoothness
-
9. Sharp Ulyanov inequalities for realizations of $K$-functionals related to Riesz derivatives and corresponding moduli of smoothness
-
10. Sharp Ulyanov inequality via Marchaud inequality
-
11. Sharp Ulyanov and Kolyada inequalities in Hardy spaces
-
12. $(L_p,L_q)$ inequalities of Ulyanov-type involving derivatives
-
13. Embedding theorems for function spaces
-
List of symbols
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.