乘子算子及其交换子在Morrey空间上的有界性

陈冬香, 吴丽丽

数学学报 ›› 2011, Vol. 54 ›› Issue (1) : 81-88.

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数学学报 ›› 2011, Vol. 54 ›› Issue (1) : 81-88. DOI: 10.12386/A2011sxxb0009
论文

乘子算子及其交换子在Morrey空间上的有界性

    陈冬香, 吴丽丽
作者信息 +

The Boundedness of Mutiplier Operator and Its Commutator on Morrey Space

    Dong Xiang CHEN, Li Li WU
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文章历史 +

摘要

证明了乘子算子(Mpq(Rn), Lip(β-(n/q)))的有界性和(Mpq(Rn), BMO(Rn))的有界性.还得到乘子算子及其交换子在广义Morrey空间Lp,ρ(Rn)上的有界性.

 

Abstract

The authors prove that the commutators of Multipliers not only has the (Mpq(Rn), Lip(β-(n/q))(Rn)) boundedness but also has the (Mpq(Rn), BMO(Rn)) boundedness. Furthermore, the boundedness of Multipliers and commutators on the generalized Morrey space Lp,ρ(Rn) is established.

 

关键词

BMO (Rn)空间 / Lip (&beta / )空间 / 乘子算子 / 交换子

Key words

BMO space / Lip (β) space / multiplier / commutator

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陈冬香, 吴丽丽. 乘子算子及其交换子在Morrey空间上的有界性. 数学学报, 2011, 54(1): 81-88 https://doi.org/10.12386/A2011sxxb0009
Dong Xiang CHEN, Li Li WU. The Boundedness of Mutiplier Operator and Its Commutator on Morrey Space. Acta Mathematica Sinica, Chinese Series, 2011, 54(1): 81-88 https://doi.org/10.12386/A2011sxxb0009

参考文献


[1] Alvarez J., Bagby R., Kurtz D. S., Weighted estimates for commutators of linear operators, Math. Ann., 1993, 104: 195--209.

[2] Calderon A. P., Torchinsky A., Parabolic maximal functions associated with a distribution II, Advance in Math., 1977, 24: 101--171.

[3] Lin Y., Strongly singlar Calderón-Zygmund operator and commutator on Morrey type spaces, Acta Math. Sinica, 2007, 11: 2097--2110.

[4] Lin L. Z., Interior estimates in Morrey spaces for solutions o elliptic equations and weighted boundedness for commutators of singular integral operators, Acta Mathematica Sinica, English Series, 2005, 25(1): 89--94.

[5] Li W. M., Lu S. Z., Mo H. X., The boundedness for commutators of Multipliers, Acta Mathematica Sinica, English Series, 2007, 23(1): 113--122.

[6] Hörmander L., Estimate for translation invariant operators in Lp space, Acta Math., 1972, 129: 137--197.

[7] Kurtz D. S., Wheeden R. L., Results on weighted norm inequalities for multipliers, Tran. Amer. Math. Soc., 1974, 192: 261--274.

[8] Garc'ia-Cuerva J., Eduardo Gatto A., Boundedness properties of fractional integral operators associated to nondoubling Measures arXiv:math/0212323v1
[math.FA] 23 Dec 2002.

基金

国家自然科学基金资助项目(10961015,10871173) 江西省省教育厅自然基金(GJJ10397), 江西师大成长基金(2714),江西省教育厅(GJJ08169)

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