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2011•Yunnan Daxue xuebao. Shehui kexue banRequires access

Boundedness of Marcinkewicz integral on weighted weak Hardy spaces

Wang Lei

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Abstract

The weighted weak Hardy spaces were introduced.Based on the atomic decompositions of the weighted weak Hardy spaces,the boundedness of Marcinkiewicz integral on them was discussed.Using the properties of the weighted functions and estimated of inequalities,the boundedness of Marcinkiewicz integral with Ω in Lipα(0α≤1) functions on weighted weak Hardy spaces WH1ω(Rn)was obtained.

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What this paper is about

The weighted weak Hardy spaces were introduced.Based on the atomic decompositions of the weighted weak Hardy spaces,the boundedness of Marcinkiewicz integral on them was discussed.Using the properties of the weighted functions and estimated of inequalities,the boundedness of Marcinkiewicz integral with Ω in Lipα(0α≤1) functions on weighted weak Hardy spaces WH1ω(Rn)was obtained.

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Available abstract

The weighted weak Hardy spaces were introduced.Based on the atomic decompositions of the weighted weak Hardy spaces,the boundedness of Marcinkiewicz integral on them was discussed.Using the properties of the weighted functions and estimated of inequalities,the boundedness of Marcinkiewicz integral with Ω in Lipα(0α≤1) functions on weighted weak Hardy spaces WH1ω(Rn)was obtained.

Key concepts: Mathematics, Hardy space, Pure mathematics, Mathematical analysis

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