| 加权井号函数及其应用 |
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| 引用本文： | 于红旗.加权井号函数及其应用[J].湖南科技大学学报(自然科学版),1992(1). |
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| 作者姓名： | 于红旗 |
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| 作者单位： | 湘潭矿业学院基础课部 |
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| 摘 要： | 本文在R~n空间中,对可测函数,得到了加权的Caldron-Zygmund型分解定理(见引理1.3),加权的John-Nicrcnbcrg定理(见定理1.4).从而推广了Stromberg(1979)的相应结果,并利用其所得的主要定理(定理1.4).进一步讨论了加权井号函数与加权最大函数算子之间的关系,进一步讨论了加权井号函数算子范数与W-BMO_■,之间的关系,如定理2.8和定理2.9所述,参3。
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| 关 键 词： | H~P类函数 S解析函数 /加权BMO_■ |
WEIGHTED SHARP FUNCTIONS AND THEIR APPLICATIONS |
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| Yu Hongqi.WEIGHTED SHARP FUNCTIONS AND THEIR APPLICATIONS[J].Journal of Hunan University of Science & Technology(Natural Science Editon),1992(1). |
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| Authors: | Yu Hongqi |
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| Institution: | Dept. of Basic Courses |
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| Abstract: | We give weighted Caldron-Zygmund decompo sition and weighted John-Nirerenberg tyeorem for measurable function on R space in the papier, hence We obtain weighted corresponding result of strmberg (1979), the major results is used to discuss the relations of some weighted sharp functions and some weighted maximal function operators, and the relations of norm of weighted maximal function operators and norm of weighted BMQ., als the orem 2.8 and theorem 2.9. 3rcfs. |
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| Keywords: | functions of H~p class analytical function /weighted BMO |
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