Remote access

How to Order

For AMS eBook frontlist subscriptions or backfile collection purchases:

   1a. To purchase any ebook backfile or to subscibe to the current year of Contemporary Mathematics, please download this required license agreement,

   1b. To subscribe to the current year of Memoirs of the AMS, please download this required license agreement.

   2. Complete and sign the license agreement.

   3. Email, fax, or send via postal mail to:

Customer Services
American Mathematical Society
201 Charles Street Providence, RI 02904-2294  USA
Phone: 1-800-321-4AMS (4267)
Fax: 1-401-455-4046
Email: cust-serv@ams.org

Visit the AMS Bookstore for individual volume purchases.
 

Powered by MathJax

Weak type estimates for Cesàro sums of Jacobi polynomial series


About this Title

Sagun Chanillo and Benjamin Muckenhoupt

Publication: Memoirs of the American Mathematical Society
Publication Year 1993: Volume 102, Number 487
ISBNs: 978-0-8218-2548-8 (print); 978-1-4704-0064-4 (online)
DOI: http://dx.doi.org/10.1090/memo/0487
MathSciNet review: 1132609
MSC (1991): Primary 42C10; Secondary 33C45, 40G05, 42A24, 42A50

View full volume PDF

Read more about this volume

View other years and numbers:

Table of Contents


Chapters

  • 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