Japan's Nikkei 225 index is up 1.6 percent, while the broader Topix is slightly lower at 0.9 percent.
In China, Shanghai is up 0.8 percent, while Shenzhen climbs 1.3 percent.
The Hong Kong-based Hang Seng is also up 0.7 percent.
Asian stock markets up following Wall Street gains
Stock markets across much of Asia are following Wall Street gains on the first trading day of the week.
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