Weak type estimates for Cesaro sums of Jacobi polynomial series / [electronic resource] Sagun Chanillo, Benjamin Muckenhoupt.

"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

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

Mode of access : World Wide Web

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