论文标题
在A.E.多线性操作员的收敛
On pointwise a.e. convergence of multilinear operators
论文作者
论文摘要
在这项工作中，我们几乎可以为两个多线性操作员家族获得几乎所有的融合：（a）与$ l^q $函数相关的截断均匀的奇异积分运算符，以及（b）有限衰减的脱落乘数运算符。 A.E.收敛是从$ l^2 \ times \ cdots \ times l^2 \ to l^{2/m} $有界的限制性的。
In this work we obtain the pointwise almost everywhere convergence for two families of multilinear operators: (a) truncated homogeneous singular integral operators associated with $L^q$ functions on the sphere and (b) lacunary multiplier operators of limited decay. The a.e. convergence is deduced from the $L^2\times\cdots\times L^2\to L^{2/m}$ boundedness of the associated maximal multilinear operators.
