弱极限和强极限

摘要：

关于整环$D$上全纯函数或调和函数边值的经典结果表明，在附加可积性假设下，这些函数沿特定的逼近边界集有极限.这些结果的证明是基于属性的光滑边界用于定义的方法区域和估计代表内核沿这些区域。本文试图看看的情况下，没有假设的边界平滑，因此，没有自然的定义的方法区域可以给出。

英文摘要：

The classical results about the boundary values of holomorphic or harmonic functions on a domain $D$ state that under additional integrability assumptions these functions have limits along specific sets approaching boundary. The proofs of these results are based on properties of smooth boundaries used to define the approach regions and on estimates of representing kernels along these regions. This paper attempts to look at the situation when no assumptions about the boundary smoothness are made and, consequently, no natural definitions of approach regions could be given.

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