Weak Type Estimates for Cesaro Sums of Jacobi Polynomial Series.

Intro -- Table of Contents -- 1. Introduction -- 2. Facts and definitions -- 3. An absolute value estimate for 3(1…y) ≤ 2(1…x) -- 4. A basic estimate for 3(1…y) ≤ 2(1…x) -- 5. A kernel estimate for 3(1…y) ≤ 2(1…x) and …1 ≤ θ ≤ 0 -- 6. A reduction lemma -- 7. A kernel estimate for 3(1…y) ≤ 2(1…x) and 0 ≥ …1 -- 8. A Cesaro kernel estimate for t ≤ 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 ≤ 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 -- 23. References.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.