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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)
DOI: https://doi.org/10.1090/memo/0293
MathSciNet review: 727820
MSC: Primary 46E35; Secondary 26B35, 42B25
Table of Contents
Chapters
- 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 $0 < p < 1$