这些结果能被用来研究共轭调和函数的可积性并且估计它们的积分。

These results can be used to study the integrability of conjugate harmonic functions and estimate the integrals for them.

youdao

众所周知，分数次积分算子是调和分析中以偏微分方程为背景的一种重要算子。

It is well-known that fractional integral operator is one of the important operators in harmonic analysis with background of partial differential equations.

youdao

本文把有限个数的调和、几何、算术加权平均值不等式推广到无穷多个数的形式和广义积分的形式。

In this paper, we prove the infinite weighted mean inequalities. Furthermore, some results are established in infinite integral case.

youdao