@Pololinger You'll need to setup both domains (pololinger-s.com and www.pololinger-s.com) explicitly setup in Azure as custom domains. It sounds like you've only explicitly setup pololinger-s.com in the Azure portal.
Also, on an unrelated note, I see you are using both an A record and CNAME records. Please note that unless you need an A record, we typically advise against using A records as it reduces the concern that your IP address might change down the road.
Please let us know the results of setting up www.pololinger-s.com as it's own domain in your custom domains blade in the Azure portal.