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POINTWISE ESTIMATES AND BOUNDEDNESS OF GENERALIZED LITTLEWOOD-PALEY OPERATORS IN BMO(Rn)

Huoxiong Wu|Yurong Wu
대한수학회 (The Korean Mathematical Society)|2015.05|대한수학회보 (Bulletin of the KMS)|제52권 제3호|pp. 851-864

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참고문헌

키워드

generalized Littlewood-Paley operatorsBMO spacesBLO spaces
주제분류수학

초록

In this paper, we study the generalized Littlewood-Paley operators. It is shown that the generalized g-function, Lusin area function and g∗λ-function on any BMO function are either infinite everywhere, or finite almost everywhere, respectively; and in the latter case, such operators are bounded from BMO(Rn) to BLO(Rn), which improve and generalize some previous results.

Abstract

In this paper, we study the generalized Littlewood-Paley operators. It is shown that the generalized g-function, Lusin area function and g∗λ-function on any BMO function are either infinite everywhere, or finite almost everywhere, respectively; and in the latter case, such operators are bounded from BMO(Rn) to BLO(Rn), which improve and generalize some previous results.

참고문헌 (16)

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