New weighted multilinear operators and commutators of hardy-ces脿ro type

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• 作者：Ha Duy HUNG ^{hunghaduy@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Hardy-Cesà ; ro operators ; Hardy's inequality ; multilinear Hardy operator ; weighted Hardy-Littlewood averages
• 刊名：Acta Mathematica Scientia
• 出版年：2015
• 出版时间：November 2015
• 年：2015
• 卷：35
• 期：6
• 页码：1411-1425
• 全文大小：386 K

文摘

This paper deals with a general class of weighted multilinear Hardy-Cesàro operators that acts on the product of Lebesgue spaces and central Morrey spaces. Their sharp bounds are also obtained. In addition, we obtain sufficient and necessary conditions on weight functions so that the commutators of these weighted multilinear Hardy-Cesáro operators (with symbols in central BMO spaces) are bounded on the product of central Morrey spaces. These results extends known results on multilinear Hardy operators.