Over the last week, Donald Trump has made multiple posts on social media about a social media account he alleges belongs to Judge Arthur Engoron's wife, accusing her of sharing multiple posts critical of the former president, including doctored images depicting Trump in prison.

"Judge Engoron's Trump Hating wife," Trump called her Wednesday on Truth Social.

A court official on Thursday denied that any of the posts referenced by Trump were made by Engoron's wife.

"Justice Engoron's wife has sent no social media posts regarding the former president. They are not hers," court spokesperson Al Baker wrote in a statement.

Judge Engoron has set a date of Jan. 11 for closing arguments in the trial.

Both parties face a noon deadline on Jan. 5 to file their briefs, and closing arguments are scheduled to take place in person on Jan. 11, the judge decided after considering scheduling proposals from both the state and the defense.

Engoron said he plans to issue his decision in the case "a few weeks after" closing arguments.

"I would hope this [January] but no guarantees," Engoron said.

State attorneys had requested closing statements take place Dec. 13, while attorneys for Donald Trump suggested closing arguments be presented 60 days after both parties submitted paper filings.

Judge Arthur Engoron warned that he plans to "rigorously" enforce the limited gag order he handed down last month, which prohibits Trump and his attorneys from commenting on the judge's staff, after an appeals court reinstated it this morning.

"I want to make sure all counsel are aware, and they probably already are aware, that this morning the Appellate Division First Department issued a decision vacating the stay on the two gag orders that I imposed earlier on this case," Engoron said in court. "So I intend to enforce the gag orders rigorously and vigorously, and I want to make sure that counsel informs their clients of the fact that the stay was vacated."

"We're aware. It's a tragic day for the rule of law, but we are aware," Kise responded.

"It is what it is," Engoron quipped.

A New York appellate court has upheld the limited gag order imposed by Judge Engoron in the ongoing trial.

The decision reinstates the limited gag order Engoron imposed on Trump and his attorneys prohibiting them from disparaging court staff, particularly his principle law clerk, who has come under attack by Trump on social media.

The limited gag order was temporarily lifted two weeks ago by appellate judge after Trump's lawyers sued Judge Engoron.

Engoron's lawyer wrote in support of the gag order, saying that Engoron and his clerk have been inundated with threats since Trump began his attacks.

"It is ordered that the motion is denied; the interim relief granted by order of a Justice of this Court, dated November 16, 2023, is hereby vacated," the appellate court said in its ruling issued this morning.