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Weighted Norm Inequalities for Maximal Functions with respect to Some Bases

Title
Weighted Norm Inequalities for Maximal Functions with respect to Some Bases
Authors
박가현
Issue Date
1997
Department/Major
대학원 수학과
Keywords
Weighted NormInequalitiesMaximal Functions
Publisher
이화여자대학교 대학원
Degree
Master
Abstract
We show that M_(β) : L^(p)(w)→L^(p)(w) if and only if w∈A_(p.β) for some bases β. Also we show that when w∈A_(p.β), V_(q)(w) covering property implies the boundedness of M_(β), for any basis β.;어떤 적당한 bases β에 대해 M_(β):L^(p)(w)→L^(p)(w)와 w∈A_(p,β)는 필요충분조건임을 보인다. 또한 임의의 basis β에 대해 w∈A_(p,β)이면 V_(q)(w) covering property가 M_(β)의 유계성을 위한 충분조건임을 보인다.
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