Transplantation theorems and multiplier theorems for Jacobi series / [electronic resource] Benjamin Muckenhoupt.

By: Muckenhoupt, Benjamin, 1933-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 356Publication details: Providence, R.I., USA : American Mathematical Society, 1986Description: 1 online resource (iv, 86 p.)ISBN: 9781470407728 (online)Subject(s): Jacobi series | Jacobi polynomials | Multipliers (Mathematical analysis)Additional physical formats: Transplantation theorems and multiplier theorems for Jacobi series /DDC classification: 510 s | 515/.2433 LOC classification: QA3 | .A57 no. 356 | QA404.5Online resources: Contents | Contents
Contents:
1. Introduction 2. Jacobi polynomials 3. A reduction lemma 4. An estimate for separated arguments 5. Kernel estimates for separated arguments 6. An estimate for noncomparable values near 0 7. Kernel estimates for noncomparable values near 0 8. Kernel estimates for comparable values 9. Facts concerning weighted norm inequalities 10. A transplantation lemma without moment conditions 11. A transplantation lemma with moment conditions 12. Proof of the power weight transplantation theorem 13. Multipliers for power weights: a special case 14. Multipliers for power weights 15. Transplantation lemmas with general weights 16. General weight transplantation for $s < \min (\alpha +\gamma +2, \beta +\delta +2)$ 17. General weight transplantation for $s \geq \min (\alpha +\gamma +2, \beta +\delta +2)$ 18. Moment conditions are essential if $s \geq \min (\alpha +\gamma +2, \beta +\delta +2)$
Item type: E-BOOKS
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"Volume 64, number 356 (first of 2 numbers)."

Bibliography: p. 85-86.

1. Introduction 2. Jacobi polynomials 3. A reduction lemma 4. An estimate for separated arguments 5. Kernel estimates for separated arguments 6. An estimate for noncomparable values near 0 7. Kernel estimates for noncomparable values near 0 8. Kernel estimates for comparable values 9. Facts concerning weighted norm inequalities 10. A transplantation lemma without moment conditions 11. A transplantation lemma with moment conditions 12. Proof of the power weight transplantation theorem 13. Multipliers for power weights: a special case 14. Multipliers for power weights 15. Transplantation lemmas with general weights 16. General weight transplantation for $s < \min (\alpha +\gamma +2, \beta +\delta +2)$ 17. General weight transplantation for $s \geq \min (\alpha +\gamma +2, \beta +\delta +2)$ 18. Moment conditions are essential if $s \geq \min (\alpha +\gamma +2, \beta +\delta +2)$

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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