TY  - BOOK
AU  - Chanillo,Sagun
AU  - Muckenhoupt,Benjamin
TI  - Weak type estimates for Cesaro sums of Jacobi polynomial series
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470400644 (online)
AV  - QA3QA404.5 .A57 no. 487
U1  - 510 s515/.55 20
PY  - 1993///
CY  - Providence, R.I.
PB  - American Mathematical Society
KW  - Jacobi series
KW  - Summability theory
N1  - "March 1993, vol. 102, no. 487 (second of 4 numbers)."; Includes bibliographical references (p. 90); 1. Introduction; 2. Facts and definitions; 3. An absolute value estimate for $3(1-y) \leq 2(1-x)$; 4. A basic estimate for $3(1-y) \leq 2(1-x)$; 5. A kernel estimate for $3(1-y) \leq 2(1-x)$ and $-1 \leq \theta \leq 0$; 6. A reduction lemma; 7. A kernel estimate for $3(1-y) \leq 2(1-x)$ and $\theta \geq -$1; 8. A Cesaro kernel estimate for $t \leq s/2$; 9. A basic estimate for separated arguments; 10. A reduction lemma for separated arguments; 11. A kernel estimate for separated arguments; 12. Cesaro kernel estimate for $t \leq s - b$; 13. Cesaro kernel estimate for $s$ near $t$; 14. Kernel estimates; 15. A weak type lemma; 16. Lemmas for the upper critical value; 17. Proofs of theorems (1.1)-(1.3); 18. Norm estimates for $p$ not between the critical values; 19. A polynomial norm inequality; 20. A lower bound for a norm of the kernel; 21. Some limitations of the basic results; 22. Growth of Cesaro means; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/memo/0487
UR  - http://dx.doi.org/10.1090/memo/0487
ER  -