These verses, quoting Psalm 45:6–7, declare the Son as the divine, just, eternal, anointed King of the universe.
But about the Son He says: Jesus is called God. In Hebrews 1:9, "your God" refers to God the Father.
has anointed you … with the oil of joy: Olive oil was used to anoint Israel's kings when they began their rule (1 Samuel 10:1; 1 Kings 19:15–16). To anoint someone was to pour oil on that person’s head as a public sign that God had chosen them for a special role. God has anointed his Son, Jesus Christ, as King.