The phrase "exercise rights over" is correct and usable in written English.
It usually implies taking action to assert one's legal rights in a certain situation. For example, "The company exercised its rights over the property by filing a lawsuit."
"They were simply trying to see how far they could exercise property rights over farmers -- even those who hadn't planted their seed".
In the post-Revolutionary United States, married women could not own property, participate in local politics, serve on juries, write wills, sign contracts or exercise custody rights over their children.
As agreed at the Third United Nations Convention on the Law of the Sea in 1982, territorial waters extend 12 nautical miles from the coast, but states can exercise certain rights over the natural resources in a 200-mile zone beyond their shores [13] – whether those shores are on the mainland, the largest island or the smallest, most remote spit of land in the country's holdings.
At the time of the crystallization, the "floating" charge is fixed and the beneficiary may then exercise its rights over it.58 The floating charge is based on property that has not already been specifically mortgaged or pledged.
Warner Bros. said that Fox repeatedly failed to exercise its rights over various incarnations of the production.
The government effectively can't (or won't) exercise sovereign rights over the base.
Prince also has exercised his rights over digital services in the past.
While without taking a position on the sovereignty issue, the United States has reaffirmed its recognition of Japan exercising administrative rights over the Diaoyu Islands, and is claiming that the US-Japan Defence Treaty applies to the Diaoyu Islands.
A search of the USPTO database shows that AOL does in fact have three registered trademarks for Advertising.com, but all are design trademarks, which means they stand little chance of exercising trademark rights over something as generic as the domain name advertise.com.com
The author, Peter Baker, reminds us that some of the neighbors who witnessed parts of her rape and murder from their windows likely mistook the savage assault by a stranger for a man exercising his rights over "his" woman.
