齐型空间上算子的加权内插及其应用

Weighted Interpolation of Operators on Homogeneous Type Spaces with Application

中文关键词:  齐型空间  C₁权  算子内插  Calderon－Zygmund算子。

英文关键词:homogeneous type space  interpolation of operator  Calderon-Zygmund op-erator  C₁ weight.

中文摘要:

      本文在齐型空间上建立了算子的加权情形下的实内插定理，运用该结果，立即可推导出齐型空间上Ｃａｌｄｅｒｏｎ－Ｚｙｇｍｕｎｄ算子的加权Ｌ^ｐ有界性（ｐ＞１）和弱Ｌ¹有界性。

英文摘要:

      The weighted interpolation theorem of operators on homogeneous type spaces is proved and is used to show the weighted boundedness of L^ｐ(p>1)and weak L¹ for Calderon-Zygmund operator on homogeneous type spaces.