(AP) -- The governor of the Italian region hardest-hit by coronavirus infections is warning citizens that if they don't stay in their homes as they should, he'll ask the central government for even stricter measures.

Italian authorities say too many people are violating last week's national decree, which allows people to leave homes to go to workplaces, buy food or other necessities or for brief strolls outside to walk dogs or get exercise. Of hundreds of thousands of people stopped by police for checks, tens of thousands have received a summons for going out without valid reasons.

Lombardy Gov. Attilio Fontana told a news conference Wednesday "every time out of the house is a time you put yourself at risk and put others at risk" for catching COVID-19.''

As of Tuesday, Lombardy had slightly more than half of Italy's 31,506 virus cases and 1,640 of Italy's 2,503 deaths. Italy is the second hardest-hit nation after China in the pandemic.

Not all Parisians are obeying the rules to stay inside to contain the new virus.

Paris police said Wednesday hey checked more than 10,000 people after new confinement measures went into effect at midnight, and by late morning had fined 522 violators.

Most were individuals who defied rules against non-essential movement around town, but four people were also fined for keeping non-essential businesses open.

People are required to carry a special document if they leave their homes explaining why. It can be handwritten or saved on a phone if people don't have printers at home.

France has 7,730 cases of the virus, including 175 people who have died.