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Maximal functions measuring smoothness

About this Title

Ronald A. DeVore and Robert C. Sharpley

Publication: Memoirs of the American Mathematical Society
Publication Year 1984: Volume 47, Number 293
ISBNs: 978-0-8218-2293-7 (print); 978-1-4704-0703-2 (online)
MathSciNet review: 727820
MSC: Primary 46E35; Secondary 26B35, 42B25

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Table of Contents


  • 1. Introduction
  • 2. Maximal functions
  • 3. Inequalities for polynomials
  • 4. Additional estimates
  • 5. The Calderón maximal operator and Peano derivative
  • 6. Smoothness spaces
  • 7. Comparison with Besov spaces
  • 8. Interpolation
  • 9. Embeddings
  • 10. Extension theorems
  • 11. Extensions for domains with minimally smooth boundary
  • 12. The case $0 < p < 1$