论文标题
Schur乘数的Marcinkiewicz测试标准
A Marcinkiewicz Testing Criterion for Schur Multipliers
论文作者
论文摘要
我们证明了Marcinkiewicz的测试条件，即Schatten $ p $ classes上Schur乘数的界限。这概括了J. Bourgain的先前作品，用于Toeplitz Type Schur乘数。作为推论，我们获得了Schatten $ p $ classes的新的无条件分解（$ 1 <p <\ infty $）。
We prove a Marcinkiewicz testing condition for the boundedness of Schur multipliers on the Schatten $p$-classes. This generalizes a previous work of J. Bourgain for Toeplitz type Schur multipliers. As a corollary, we obtain a new unconditional decomposition for the Schatten $p$-classes ($1<p<\infty$).
