论文标题

Calderon转移原则的扩展

An extension of Calderon Transfer Principle

论文作者

Demir, Sakin

论文摘要

我们首先证明,众所周知的A. P.calderón的转移原理可以扩展到矢量值的设置,然后我们将此扩展应用于矢量价值的不平等,用于硬质 - 小木最大功能,以证明vector-vareued $ l^p $ normitiont,以$ 1 <p <p <p <p <\ infty $ $ n Norm Equienty $(Erty $)$(ERTY $)$(ERTY $(ERTY)$(ERTY)$(Er-Erty $(Er-Er)(Er-Er)(Er-Er)(Er-Erty)。最大功能。

We first prove that the well known transfer principle of A. P. Calderón can be extended to the vector-valued setting and then we apply this extension to vector-valued inequalities for the Hardy-Littlewood maximal function to prove the vector-valued strong type $L^p$ norm inequalities for $1<p<\infty$ and the vector-valued weak type $(1,1)$ inequality for ergodic maximal function.

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