BERLIN — Slowly, tentatively, a handful of European countries began lifting constraints on daily life this week for the first time since the start of the coronavirus crisis, providing an early litmus test of whether Western democracies can gingerly restart their economies and restore basic freedoms without reviving the spread of the disease.

On Tuesday, Italy, the epicenter of Europe’s crisis, reopened some bookshops and children’s clothing stores. Spain allowed workers to return to factories and construction sites, despite a daily death toll that remains over 500. Austria allowed thousands of hardware and home improvement stores to reopen, as long as workers and customers wore masks.

In Denmark, elementary schoolteachers readied classrooms so young children could return to school on Wednesday, while in the Czech Republic, a restless public relished the reopening of sports centers and some shops.

When Lukas Zachoval, a sales manager in the Czech Republic, lost a tennis match to his father this week — in a 6-4, 6-3 drubbing — defeat had seldom tasted sweeter. After all, it was his first match since the Czech government began lifting sweeping restrictions on society, including a ban on communal sports, that had been in place for nearly a month.