Best approximation in the mean by analytic and harmonic functions
泛函分析
2007-05-23 v1 经典分析与常微分方程
摘要
We consider the problem of finding the best harmonic or analytic approximant to a given function. We discuss when the best approximant is unique, and what regularity properties the best approximant inherits from the original function. All our approximations are done in the mean with respect to Lebesgue measure in the plane or higher dimensions.
引用
@article{arxiv.math/9908154,
title = {Best approximation in the mean by analytic and harmonic functions},
author = {Dmitry Khavinson and John E. McCarthy and Harold S. Shapiro},
journal= {arXiv preprint arXiv:math/9908154},
year = {2007}
}
备注
Plain TeX, 39 pages