Maximal Mean Estimates of Taylor Remainder
by
Fon-Che Liu
Institute of Mathematics, Academia Sinica-Taipei, Nankang, Taipei 11529, Taiwan, Republic of China

For each positive number a function space is introduced together with a point-wise maximal mean estimate for the Taylor remainder to certain order of the functions from the space. Properties of functions are then studied through the behavior of the mean maximal estimate of their Taylor remainders. Some well known results for functions of Campanato and Sobolev spaces are also obtained in this light.

Date received: June 11, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cahv-01.