HONG KONG — Hong Kong’s economy grew slightly in the first quarter as the trade-dependent Asian financial center was held back by an unsteady global demand. While conditions have improved since last year, the outlook was still clouded by problems in debt-mired Europe and an uncertain recovery in the United States, government economists said Friday. Economic output in the southern Chinese city grew a meager 0.2 percent in the first three months of the year compared with the previous quarter. It was the slowest growth in three quarters. On a year-on-year basis, gross domestic product grew 2.8 percent, unchanged from the previous quarter’s growth rate. Exports grew 8.8 percent thanks to “solid growth” in mainland China and other Asian markets. A “peculiar” surge in experts of gold jewelry also helped boost the export figures, the government said. Mainland Chinese have been buying up gold jewelry recently in Hong Kong, where there is no sales tax, after prices for the precious yellow metal fell. However, advanced economies remained weak, with exports to major markets including the U.S., European Union and Japan all posting declines during the first quarter. “In view of the continued sluggishness in demand in the advanced economies, which would continue to put a drag on economic activity in Asia, Hong Kong’s trade performance is likely to see some fluctuations in the period ahead,” government economist Helen Chan said.