Pointwise finiteness of some square functions(一些平方函数的点态有限性)

通过仔细的点态估计,证明了:设N为一自然数,φ∈CN(R1),,|φ(x)| + |φN(x)| =O((1+|x|)-N-1-δ(对某-δ>0),f(x)(1+|x|)-N-1∈L1(R1),如果gφ(f)在N个点有限,则gφ(f)为a.e.-有限.这个结果大大推广并改进了一系列已知结论.

Bibliographic Details
Main Author:	XUHan(徐罕)
Format:	Article
Language:	zho
Published:	Zhejiang University Press 2003-03-01
Series:	Zhejiang Daxue xuebao. Lixue ban
Subjects:	g-函数面积积分函数主平方函数点态有限性
Online Access:	https://doi.org/zjup/1008-9497.2003.30.2.125-127

Internet