Owned by Liberman Broadcasting of Burbank, California, the station is an owned-and-operated affiliate of the Spanish-language network Estrella TV.
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On August 18, 2008, the former owners of LAT TV announced that KVPA-LP would be sold to Liberman Broadcasting, a company that specializes in Spanish-language television and radio, for $1.25 million.
On July 19, 2010, KXAP-LD affiliated with Liberman Broadcasting's Spanish-language broadcast network Estrella TV.
On May 21, 2007, Liberman has announced that it would expand to Utah with a $10 Million purchase of former UPN station KPNZ from Utah Communications, LLC.
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In 2004 and 2005 Adrian Vallarino produced and directed the controversial Fear Factor-like series Gana la Verde for Liberman Broadcasting in Los Angeles, where winning contestants were promised legal representation to help them pursue a Green Card.
In 2001, the station was purchased by Liberman Broadcasting and became a Spanish-language independent station; in 2009, KZJL became a charter owned-and-operated station of Liberman's Spanish-language broadcast network Estrella TV.