Unfortunately, the amount of English books and articles on Late Medieval Bergen is quite limited, and many of them also have difficulty in getting access to for non-experts without any affiliation to the university.
On the other hand, if almost any overview book on medieval and early modern Scandinavia focuses also on the economic aspect of the history, it should in fact allude to the trading network across the North and Baltic Seas, one of whose hubs was Bergen.
+++
- Ersland, Geir Atle. "Bergen 1300-1600: A Trading hub between the North and the Baltic Sea." In: the Routledge Handbook of Maritime Trade around Europe 1300-1600, ed. Wim Blockmans, Mikhail Krom & Justyna Wubs-Mrozewicz, pp. 428-445. Routledge: London, 2017: is the overview article of Hanseatic Bergen, and virtually the only item with affordable price (that is to say less than ca 50 USD to get the book or the article can be accessible from almost everywhere in the world). Ersland has wrote several books on Norwegian urban history, including one concise booklet on Bergen's Bryggen, in Norwegian, so he is qualified scholar to write this article (though he rarely write in English). It is also worth saying that the other articles on the Northern Seas in the book provide us with very rare up-to-date information on the Hanseatic League.
- (Added): Hansen, Gitte. "Bergen AD 1020/30 to-1170: Between Plans and Reality." In: Maritime Societies of the Viking and Medieval World, ed. James H. Barrett & Sarah J. Gibbon, pp. 182-97. Oxford: Oxbow, 2016: Hansen is a Norwegian archaeologist specializes in the urban archaeology of medieval Bergen, though primarily focusing on pre-Hanseatic period (Viking Age and 11/12th centuries).
- Nedkvitne, Arnved. The German Hansa and Bergen 1100-1600. Böhlau: Köln, 2013: is the most comprehensive work on the history of the Hanseatic merchants and their activity in the North Sea, and it is a translation of his dissertation in Norwegian in 1983, with some updates. He can also write either in English and in German, but unfortunately he is almost only an Norwegian historian focusing the economic contact between Norway and wider world, such as the Hanseatic merchants, and he has largely shifted to other field of research in the 21th century. Cons - needless to say, 90 Euros from German publishers, so it is not so likely to find its copy in any ordinary local library, I'm afraid.
- Wubs-Mrozewicz, Justina. Trader, Ties and Tensions: The Interaction of Lübeckers, Overijsslers and Hollanders in Late Medieval Bergen. Ph. D. Thesis, University of Groningen, 2008. (linked to the pdf file of the dissertation, uploaded by herself to academia.edu)
- ________. "Rules of Inclusion. Rules of Exclusion: The Hanseatic Kontor in Bergen in the Later Middle Ages and its Normative Boundaries." German History 29 (2011): 1-22. https://doi.org/10.1093/gerhis/ghq145
- ________. "Hansards and the 'Other': Perceptions and Strategies in Late Medieval Bergen." In: The Hanse in Medieval and Early Modern Europe, ed. Justyna Wubs-Mrozewicz & Stuart Jenks, pp. 149-79. Leiden: Brill, 2012: Wubs-Mrozewicz is one of very few Hanseastic historians who actively publish her research on Bergen in English after Nedkvitne (so I'd recommend to check her name in the library's OPAC). The last collection of essays is very important also in the study of the Hanseatic League at least in Anglophone historiography, but it is probably too expensive. Fortunately, she, as an one of the editors, also uploads its introductory chapter in the university's server for free.
- (Added): Øye, Ingrid. "Traditions and Innovations in Food Processing Technology: Bergen and the North Atlantic." In: Gruel, Bread, Ale and Fish: Changes in the Material Culture related to Food Production in the North Atlantic 800-1300 AD, ed. Ditlev L. Mahler, pp. 39-60. Copenhagen: the National Museum of Denmark, 2018: While she doesn't so often write in English, Øye has been the leading expert in urban archaeology of medieval Bergen for the decades.
(Added): Adds the latest work by Hansen and Øye to the bibliography, sorted now in alphabetical order, though both of them are rather specialized in pre-Hanseatic period of Bergen.