The U.S. Supreme Court on Monday declined to hear an appeal by Infowars host and conspiracy theorist Alex Jones, who was fighting a Connecticut court sanction in a defamation lawsuit brought by relatives of some of the victims of the Sandy Hook Elementary School shooting.

Jones was penalized in 2019 by a trial court judge for an angry outburst on his web show against an attorney for the relatives and for violating numerous orders to turn over documents to the families’ lawyers. Judge Barbara Bellis barred Jones from filing a motion to dismiss the case, which remains pending, and said she would order Jones to pay some of the families’ legal fees.

Jones argued he should not have been sanctioned for exercising his free speech rights. The Connecticut Supreme Court upheld Bellis’ ruling last year.

The families and an FBI agent who responded to the shooting, which left 20 first-graders and six educators dead, are suing Jones and his show over claims that the massacre was a hoax. The families said they have been subjected to harassment and death threats from Jones’ followers because of the hoax conspiracy.

Jones, whose show is based in Austin, Texas, has since said he believes the shooting occurred.

The U.S. Supreme Court turned down Jones’ request to hear his appeal without comment.

Jones’ attorney, Norman Pattis, called the court’s decision “a disappointment.”

“Judge Bellis, and the Connecticut Supreme Court, asserted frightening and standardless power over the extrajudicial statements of litigants,” Pattis said in an email to The Associated Press. “Mr. Jones never threatened anyone; had he done so, he would have been charged with a crime. We are inching our way case-by-case toward a toothless, politically correct, First Amendment.”

Joshua Koskoff, a lawyer for the Sandy Hook families, said Jones deserved to be sanctioned for his threatening comments on his show.

“The families are eager to resume their case and to hold Mr. Jones and his financial network accountable for their actions,” Koskoff said in a statement. “From the beginning, our goal has been to prevent future victims of mass shootings from being preyed on by opportunists.”

The sanction came after Jones, on Infowars in 2019, accused an attorney for the families, Christopher Mattei, of planting child pornography that was found in email metadata files that Jones turned over to the Sandy Hook families’ lawyers. Pattis has said the pornography was in emails sent to Jones that were never opened.