紧算子列的Menshov型校正定理
Menshov type correction theorems for sequences of compact operators
摘要：
证明了紧算子序列的Menshov型"校正"定理，恢复了三角和Walsh系统中傅里叶级数的几个结果.本文阐明了研究这类“校正”定理的重要内容。这就是某些特定集合的指示函数的最大Fourier和的弱$L^1$估计。
英文摘要：
We prove Menshov type "correction" theorems for sequences of compact operators, recovering several results of Fourier series in trigonometric and Walsh systems. The paper clarifies the main ingredient, which is important in the study of such "correction" theorems. That is the weak-$L^1$ estimate for the maximal Fourier sums of indicator functions of some specific sets.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
