TY - BOOK AU - Muckenhoupt,Benjamin TI - Transplantation Theorems and Multiplier Theorems for Jacobi Series T2 - Memoirs of the American Mathematical Society SN - 9781470407728 AV - QA404.5 -- .M835 1986eb U1 - 515/.2433 PY - 1986/// CY - Providence PB - American Mathematical Society KW - Jacobi series KW - Jacobi polynomials KW - Multipliers (Mathematical analysis) KW - Electronic books N1 - Intro -- Table of 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(α+γ+2, β+δ+2) -- 17. General weight transplantation for s ≥ min(α+γ+2, β+δ+2) -- 18. Moment conditions are essential if s ≥ min(α+γ+2, β+δ+2) -- References UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113988 ER -