“He shows up at meetings late; he contests the charter schools; he is against stop-and-frisk,” said Mr. Zagor, a Democrat, who then invoked former Mayor Rudolph W. Giuliani, a Republican. “As Giuliani used to say, it’s the little things that aggravate. It’s the little things that de Blasio does that irritate.”

The telephone survey of 1,961 adult New Yorkers was conducted between Oct. 29 and Nov. 11, and the margin of sampling error is plus or minus three percentage points.

The poll showed significant concern about homelessness, with 62 percent saying they disapproved of how Mr. de Blasio was handling the issue. The mayor also received low marks on his handling of housing concerns and income inequality, two signature issues of his administration.

Image Katharine Flynn of Park Slope, Brooklyn, praised Mr. de Blasio’s “progressive views” and his support for affordable housing and public schools. Credit Kirsten Luce for The New York Times

Mr. de Blasio may still have the opportunity to recover some of his lost support. He is still widely viewed as an empathetic figure: 62 percent of residents say the mayor cares “a lot” or “some” about their needs, including half of the whites polled.

And more New Yorkers, 59 percent, say that they are optimistic about Mr. de Blasio’s next two years in office than the 33 percent who say they are pessimistic. (Among whites, the numbers are less encouraging: 41 percent say they are optimistic, versus 53 percent who say they are pessimistic.)

Whites in New York are a large and politically diverse constituency that includes Orthodox Jews in Brooklyn, affluent Manhattanites (and increasingly Brooklynites) and residents of the blue-collar redoubts of outer Queens and Staten Island. In the 2013 mayoral race, whites made up 45 percent of the electorate, with 54 percent supporting Mr. de Blasio.

The mayor has no clear challenger in a re-election bid, and despite his standing with whites, Mr. de Blasio has more or less kept intact the coalition that elected him in 2013: He received positive approval ratings from 57 percent of black residents and 54 percent of Hispanic residents, and from 56 percent of self-described liberals.