[1] He studied at the University of Bergen and became a candidatus philologiæ in 1979.
He received his doctorate in 1995 with a dissertation on sociolinguistic relations in the Municipality of Voss, titled Fenomenologisk de- konstruksjon av del labov-milroyske paradigmet i sosiolingvistikken: Ein analyse av sosiolingvistiske tilhove i Voss kommune (Phenomenological Deconstruction of the Labov-Milroy Paradigm in Sociolinguistics: An Analysis of Sociolinguistic Conditions in the Municipality of Voss).
[2][3] He served as dean of the Faculty of Humanities at the University of Bergen from 2005 to 2009.
[1][4] Akselberg's research interests include sociolinguistics, dialectology, and onomastics.
[5] He served as an editor of the journals Namn og Nemne (Name and Denomination) and Nordica Bergensia (Bergen Nordic Studies), and has been active in the language program Snakk med oss (Talk with Us) on the NRK Hordaland channel since 1997.