These four countries account for less than a fifth of euro-zone output, so their frailty has not outweighed the strength in the rest of the region.
February construction output in the euro zone fell on the month, a fourth straight decline.
Also Tuesday, Euro zone construction output fell sharply in January, to its lowest level since 1997.
In economic news, industrial output in the euro zone rose by 0.9% in August from a month earlier, Eurostat said, suggesting the region's economy was recovering gradually.
European stocks mostly declined, with the Stoxx Europe 600 down 0.4%, after industrial-production data in the euro zone showed output fell in November from the previous year.
Indeed, sovereign debt markets in Europe have been pricing in the political and economic weaknesses that have emerged with slow-moving reforms to address the crisis and data dips in production and output from the euro zone.
The recent downturn in the zone's output suggests that the region is vulnerable to sudden changes in fortunes just as it was 90 years ago, when competition from South-East Asian plantations wiped out its rubber-tapping industry.
To the extent that America's economic cycle typically leads the European cycle, American data may help to assess the future path of output and inflation in the euro zone.
In other overnight news, German industrial output fell more than expected, while Euro zone retail sales also declined in September.
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It was also reported Wednesday that German industrial output fell more than expected, while Euro zone retail sales also declined in September.
It exports 75% of the output of its Sunderland factory, mainly to the euro-zone.
Greece is struggling to raise funds, but so is California, which accounts for a far bigger share of America's output (one-eighth) than Greece does of the euro zone's (a bit more than one-fortieth).
As Tim Lee of pi Economics points out, the Turkish lira is as strong against the euro as it was in 2002, even though its current-account deficit is running at around 7% of economic output and its inflation rate has been significantly higher than that of the euro zone over the past five years.
The rotten economic news over the summer and the deepening euro-zone mess mean it is easy to forget that countries that now account for half the world's output and most of its population are doing rather well.
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