Prince, commander, or prosperous
Amear is a variant spelling of the Arabic name Amir. It traditionally refers to a high-ranking official, prince, or commander, and can also carry the connotation of someone who is long-lived or prosperous.
Less common today
Amear isn't in the latest US Top 1000. It last peaked at #8,181 in 2008.
US births per 5-year period, 1990βpresent (SSA data).