Question

Would you mind one’s doing sth.可以换成Would you mind sb is doing sth.吗？

Answer 1

为您解答
英语里不说would you mind that.....",
只说 "do you mind that..."或”would you mind if...”
所以你如果想把原来的接动名词复合形式改成接从句，需要把句型改成Do you mind that sb do sth或would yoy mind if sb do sth。原句的doing只是动名词，转化的时候也不一定需要改写为现在分词形式，要根据实际情况改写时态。

Answer 2

would you mind doing sth..?"你介意做。。。吗？”这里的doing 是动名词结构，如果采用符合结构，则为would you mind +one's doing sth ?(如 would you mind my closing the door ?) 由于这类句型本身是询问性的含义，通常按照英语语言来说，不采用否定结构。

Answer 3

Would you mind sb's doing sth? 你介意某人做某事吗？
可以换成
Would you mind if sb did sth?
如
Would you mind my smoking?
=Would you mind if I smoked?