Most Asian share markets struggled for traction on Tuesday, but Japan's Nikkei hit a fresh 9-month high and Australian stocks rose as hopes of a sustained recovery for the rich world encouraged investors to switch funds from emerging to developed markets. 

Japan, the best-performing Asian market this year with a gain of around 4 percent, extended gains for a third straight day as investors pile into riskier assets in developed economies on hopes for a steady economic recovery.