"Appellate review" is the general term for the process by which courts with appellate jurisdiction take jurisdiction of matters decided by lower courts.
"ɐpˈɛlət ɹᵻvjˈuː" ɪz ðə dʒˈɛnɚɹəl tˈɜːm fɚðə pɹˈɑːsɛs baɪ wˌɪtʃ kˈoːɹts wɪð ɐpˈɛlət dʒˌʊɹɹɪsdˈɪkʃən tˈeɪk dʒˌʊɹɹɪsdˈɪkʃən ʌv mˈæɾɚz dᵻsˈaɪdᵻd baɪ lˈoʊɚ kˈoːɹts.