I understand it, the term "informatiemaatschappij" never refers to a company in the BW texts, but to the society aspect. So when JurLex translates it as:

informatiemaatschappij = information society

As do FELOnline, and the Warendorf translation of the BW (which I also own), they are referring to the larger phrase:

"dienst van de informatiemaatschappij" or "diensten van de informatiemaatschappij"

Which is defined as:

"elke dienst die gewoonlijk tegen vergoeding, langs elektronische weg op afstand en op individueel verzoek van een afnemer van de dienst verricht wordt" (http://www.ejustice.just.fgov.be/cgi_loi/change_lg.pl?langua...

see also:

"4.3.1 Dienst van de informatiemaatschappij
De definitie van ‘dienst van de informatiemaatschappij’ is te vinden in artikel 3:15d lid 3 BW: “elke dienst die gewoonlijk tegen vergoeding, langs elektronische weg, op afstand en op individueel verzoek van de afnemer van de dienst wordt verricht zonder dat partijen gelijktijdig op dezelfde plaats aanwezig zijn”. Overweging 18 van de e-Commercerichtlijn maakt duidelijk dat ook activiteiten waarvoor afnemers niet betalen maar die wel een economische activiteit vormen (zoals online reclame) onder de definitie vallen.10" (http://www.debrauw.com/wp-content/uploads/NEWS - PUBLICATION...

=

"Information society service
Resource type: Glossary item Status: Maintained Jurisdiction: United Kingdom
Any service normally provided for remuneration, at a distance, by means of electronic equipment for the processing (including digital compression) and storage of data, and at the individual request of a recipient of a service." (http://uk.practicallaw.com/8-201-8594)

Hope this helps!

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Note added at 59 mins (2017-03-02 09:56:24 GMT)
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"Electronic Commerce Directive

The Electronic Commerce Directive 2000/31/EC is a European Union Directive of the European Parliament and of the Council from 8 June 2000. It regulates certain legal aspects of information society services in the Internal Market, in particular electronic commerce and mere conduit."

(https://en.wikipedia.org/wiki/Electronic_Commerce_Directive )

----->

Information society
An information society is a society where the creation, distribution, use, integration and manipulation of information is a significant economic, political, and cultural activity. Its main drivers are digital information and communication technologies, which have resulted in an information explosion and are profoundly changing all aspects of social organization, including the economy,[1] education, health, warfare, government[2] and democracy.[3] The People who have the means to partake in this form of society are sometimes called digital citizens. [...]" (https://en.wikipedia.org/wiki/Information_society )

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Note added at 1 hr (2017-03-02 09:58:11 GMT)
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"information society service
information society service a concept within European e-commerce comprising any service normally provided for remuneration, at a distance, by means of electronic equipment for the processing (including digital compression) and storage of data, and at the individual request of a recipient of a service. It covers internet service providers."

(http://legal-dictionary.thefreedictionary.com/information so... )