I believe you may be referring to an artist whose name is close to 'Frans Mostaert,' but there seems to be a mix-up or confusion in the name. The closest match to the name you've provided would be members of the Mostaert family, who were notable figures in the realm of Dutch and Flemish Renaissance painting. However, the most well-known among them are Jan Mostaert and Frans Hals.
Jan Mostaert (circa 1475 – 1555/1556) was a Dutch painter whose works are characteristic of the Northern Renaissance. He is known for his religious scenes, portraits, and mythological subjects. Operating mainly in Haarlem, he was a contemporary of Lucas van Leyden and a little earlier than Frans Hals. Mostaert's works are noted for their detailed landscape backgrounds, careful attention to detail, and vibrant colors. He was one of the early Dutch masters who contributed to the development of painting in the Netherlands, though he is not as widely recognized today as some of his contemporaries.
Frans Hals (circa 1582/1583 – 1666), on the other hand, was a Dutch Golden Age painter born later and is famous for his lively and loose brushwork, making him one of the most innovative portraitists of his time. Although not a 'Mostaert' by name, Frans Hals is often associated with Haarlem, where Jan Mostaert also worked, and represents a later generation that brought Dutch art to new heights, especially in portrait painting.
Without more specific details, it's challenging to provide a biography for 'Frans Mostaert' as the name might be misspelled or confused with another artist. If you are looking for information on a specific artist related to the names mentioned or within that historical period or style, additional details would be helpful to narrow down the search.