The adjective dektos means acceptable or welcome — that which is received favorably, that which meets with approval. In Luke 4:19, Jesus quotes Isaiah 61:2 and declares 'the year of the Lord's favor (dektos)' — the proclamation of the Jubilee year of God's grace. In Acts 10:35, Peter declares that in every nation the one who fears God and does what is right is dektos — acceptable to him.
The proclamation of the dektos year in Luke 4:18–19 is Jesus' Nazareth manifesto — his inaugural declaration of his mission. The 'year of the Lord's favor' is not a calendar year but the entire era of salvation inaugurated by Christ's coming. God's acceptance (dektos) is now open to all who come to him through faith in Christ, regardless of nationality (Acts 10:35). This breaks the ethnic barriers of the Old Covenant and declares that God receives all who fear him and act justly. The basis of divine acceptance is ultimately Christ's atonement, not human merit.