Asian shares were mixed in a muted reaction Tuesday to the inauguration of U.S. President Donald Trump. U.S. markets were closed Monday for the Martin Luther King Jr. Day holiday. U.S. futures rose and oil prices declined.

Sentiment also was helped by upbeat comments by U.S. and Chinese officials ahead of President-elect Donald Trump's inauguration later Monday. Pledges by both sides to work to improve relations may have alleviated some concerns over trade tensions that have built up as businesses brace for a possible increase in tariffs on Chinese exports to the U.

Asian markets rose on Monday, fueled by optimism that U.S. President-elect Donald Trump might adopt a less aggressive stance on China. Japans Nikkei 225 and TOPIX surged 1.5%, and Hong Kongs Hang Seng climbed 1.

World shares are higher ahead of the inauguration of U.S. President-elect Donald Trump, while bitcoin surged to a record high.