Maximal multilinear Calderón-Zygmund operators with non-doubling measures
Maximal multilinear Calderón-Zygmund operators with non-doubling measures
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DOI：
10.1007/s10474-009-8183-1
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发表时间：
2009-05
影响因子：
0.9
通讯作者：
H. Lin;Y. Meng
中科院分区：
文献类型：
--
作者：
H. Lin;Y. Meng
Under the assumption that µ is a non-doubling measure on ℝdwhich only satisfies some growth condition, the authors prove that the maximal multilinear Calderón-Zygmund operator is bounded from \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$L^{p_1 }$$ \end{document} (µ) × … × \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$L^{p_m }$$ \end{document} (µ) intoLp(µ) for anyp1, …pm∈ (1, ∞) andpwith 1/p= 1/p1+ … + 1/pm, and bounded from \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$L^{p_1 }$$ \end{document} (µ) × … × \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$L^{p_m }$$ \end{document} (µ) into weak-Lp(µ) if there exists anypi= 1. Furthermore, the authors establish a weighted weak-type estimate for the maximal multilinear Calderón-Zygmund operator.
