TY - BOOK AU - DeVore,Ronald A. AU - Sharpley,Robert C. TI - Maximal functions measuring smoothness T2 - Memoirs of the American Mathematical Society, SN - 9781470407032 (online) AV - QA3QA331.5 .A57 no. 293 U1 - 510 s515.8/4 19 PY - 1984/// CY - Providence, R.I., USA PB - American Mathematical Society KW - Functions of several real variables KW - Smoothness of functions KW - Maximal functions KW - Sobolev spaces N1 - "January 1984, volume 47, number 293 (fifth of six numbers)"; Bibliography: p. 114-115; 1. Introduction; 2. Maximal functions; 3. Inequalities for polynomials; 4. Additional estimates; 5. The Calder�on 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 $0 < p < 1$; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0293 UR - http://dx.doi.org/10.1090/memo/0293 ER -