By Gregor Stuart Hunter 

Chinese shares rose early Monday, after Beijing cranked up efforts over the weekend to stem a three-week selloff that has wiped out about $2.4 trillion in value.

The Shanghai Composite is up 4% after gaining as much as 7.8% at the open. The smaller Shenzhen market is up 3.2% and the ChiNext board, composed of small-cap stocks, is up 3.7%. All indexes still are off more than a quarter from highs reached in June.

Chinese officials have turned to an array of tools to prop up the market in recent days: from encouraging stock buying with borrowed money to rallying state-affiliated firms to invest. Now, China's central bank indirectly will help investors borrow to buy shares and regulators over the weekend also agreed to halt all new initial public offerings.

Late Sunday, the top securities regulator said the People's Bank of China would "provide liquidity assistance" to China Securities Finance Corp., a company owned by the stock regulator. The company will use the money to lend to brokerages, which could then make loans to investors to buy stocks. It marks the first time central-bank funds will be directed to institutions other than banks.

Earlier in the weekend, China's big state-controlled securities firms, mutual funds and a unit of China's giant sovereign-wealth fund also pledged to buy shares. The Securities Association said that 21 brokerages pledged to try to increase investments in the stock market as long as the Shanghai Composite Index stays below 4,500.

Some brokerages are hopeful: Regulators have more options at hand to stabilize the Chinese market, and the unwinding of margin positions could encourage more risk taking in future, said HSBC.

"The regulator is committed to prevent further A-share sharp falls. And more favorable policies are expected to be rolled out to stabilize the market if volatility remains high," analysts from the bank wrote in a research report. "We estimate that the worst of deleveraging and forced selling in the A-share market could be behind us."

Moreover, a big source of liquidity hasn't yet been tapped for stock investments, said analysts at Bernstein Research. Liquidity from wealth-management products and money-market funds, rather than bank deposits, drove much of the earlier rally. "This is good news for the broader market, as the equity market rally has yet to tap into the largest liquidity pool in the system, i.e. bank deposits, so future liquidity supply is not yet a constraint," they say.

Hong Kong's Hang Seng Index fell 0.9% and a gauge of Hong Kong-listed Chinese companies, known as H-shares, is down 0.7%.

In Malaysia, the attorney general said an official investigation into a troubled state investment fund has uncovered documents related to allegations that money was transferred into the personal bank accounts of Prime Minister Najib Razak. The Wall Street Journal reported on Friday that Malaysian government investigators looking into the activities of 1Malaysia Development Bhd., or 1MDB, had traced almost $700 million in deposits into what they believe are Mr. Najib's personal accounts. Earlier Monday, the ringgit fell 0.6% against the dollar to 3.8125, crossing the 3.8000 mark for the first time since the currency's peg against the greenback at that level was removed in 2005.

Elsewhere in Asia, shares are down after preliminary results of Greece's referendum Sunday show a victory for the "no" campaign, which rejected austerity policies set out by the eurozone and the International Monetary Fund. Creditors have said the outcome imperils future compromise and puts Greece closer to leaving the currency bloc.

"The negative vote was not entirely unexpected, but it sends Greece's trajectory closer to a eurozone exit, which would be unprecedented," says Rakuten Securities senior market analyst Masayuki Doshida.

Japan's Nikkei 225 Stock Average shed 1.3% in early trading while Australia's S&P/ASX 200 was down 1.6%. South Korea's Kospi was down 0.9%.

"Much of the trauma generated by Greece's situation was priced into the market last Monday," says Kenichi Hirano, CEO at Tokyo-based K Asset Management, referring to the day the Nikkei suffered its second-worst percentage fall of the year. "The impact on Japan should be more limited this time.

The euro sank 0.9% to $1.1017 against the U.S. dollar and fell 1.1% against the Japanese yen as investors sought safer assets. The yen also rose 0.3% against the dollar. Gold prices rose 0.8% to $1,172.20 per troy ounce, while Brent crude futures dropped 1.1% to $59.69.

Bradford Frischkorn and Grace Zhu contributed to this article.

Write to Gregor Stuart Hunter at gregor.hunter@wsj.com