In well known eciclopedia The Vikings by BRITTA NURMANN, CARL SCHULZE
& TORSTEN VERHULSDONK is mentioned Lapland in early eleventh century as evidence of gambeson. Is here abyone knows anything about this, and what about Hastings battle, was there gambesones under hauberks?

i dont know of any references for any gambeson being worn at hastings

Since it mentions Lappland, it could be a reference to the (in)famous reindeer hide coats worn by Tore Hund and his croonies at the battle of Stiklestad.
These were described as "bought from a lappish shaman, and so heavy with runes that they turned swords as well as mail."

These have often been intrepented as a source for hide armour. However, in context, they are "magical items" worn by the sinister northern chieftain Tore Hund as he slays Olav Haraldson, soon to be St Olav, patron saint and Eternal King of Norway...
Due to its mythological and religious nature, St Olavs saga has lots of supernatural aspects, for instance where Olav battles trolls, or Tore Hund performs magical rites.
Additionally, the sagas was put to parchment in the 13th c, 300 years later, so it is hard to know to which degree they describe equipment corectly.