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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 Norm; Inequalities; Maximal 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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