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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2002.1
- 수록면
- 133 - 145 (13page)
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Several properties of the Poisson maximal operator Mf(x,t) defined on R^{n+1}_{+}, given by Mf(x,t)=sup{ }, were investigated. Some of these properties generalize those of the Hardy-Littlewood maximal operator. In particular, a certain relation between Zygmund class and the Hardy-Littlewood maximal operator is established in terms of Poisson Maximal operator and a relation between the Hardy-Littlewood maximal operator and the sharp maximal operator is shown to be extended to a relation between the poisson maximal operator and a generalized sharp maximal operator f^{#} given by f^{#}=sup ,where the sup is taken over all the cubes containing x with l(Q)>_t, and fQ is the average of f over Q.
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