I forgot to add that I wear glasses since I was 7 years old, so don't tell me I don't know how to clean a piece of glass
EDIT: A follow up that may help people who encounter the same problem in the future. Hoya filters really need special care for cleaning, they are great value for money, but when it is time to clean them it can be kind of an hassle. I tried the lenspen (I'm not receiving a commission ...saddly) and it is by far the more efficient way I tried, so I'm keeping the Hoya and the Lenspen.