The Australian share market is trading higher, despite losses on Wall Street and in Europe overnight.

The All Ordinaries index had gained 12 points, or 0.25 per cent, to 4,968 shortly before midday (AEDT).

The ASX 200 index was also up 12 points at 4,948.

Healthcare, retail and media stocks were all doing well.

Seven West Media had risen 4.1 per cent, the Ten Network was up 1.7 per cent, and News Corp had gained 3.3 per cent.

Harvey Norman has strengthened by 2.4 per cent while David Jones had risen 0.4 per cent.

Rio Tinto was up 0.7 per cent, ahead of a 0.2 per cent gain for rival BHP Billiton.

However, Sundance Resources shares had gone down 11.8 per cent after more delays in a planned takeover by a Chinese firm.

The Australian dollar was weaker against the greenback, compared to yesterday, and was buying around 102.63 US cents.