Talofa ! Ia Orana ! Malo te ma'uli ! There's a fairly small amount of resources for Polynesian languages online, however if you know where to search you can find some good content. It also depends a lot on the language you want to study.
Here's a list of documents I have on my computer, including some "small" Polynesian languages:
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TahitianYves Lemaître,
Lexique du tahitien contemporain, 1995 (in French; includes grammar as well)
Gilbert Lazard, Louise Peltzer,
Structure de la langue tahitienne, 2000 (in French)
Mirose Paia, Jacques Vernaudon,
Tahitien Ia ora na, méthode d'introduction à la langue tahitienne, 1999 (in French - learning method, includes audio as well)
D.T. Tryon,
Parler Tahitien en 24 leçons, 1995 (in French)
D.T. Tryon,
Conversational Tahitian - An Introduction to the Tahitian Language of French Polynesia, 1970
English-Tahitian/Tahitian-English dictionary, 2002
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NZ MaoriWinifred Bauer,
Maori Descriptive Grammars, Routledge, 1993
Ray Harlow,
Maori, a linguistic Introduction, 2006
Ray Harlow,
Māori, 1996 (descriptive grammar book)
Teach Yourself Maori, 1994 (K.T. Harawira, revised by Timoti Kāretu)
K.T. Harawira,
Beginner's Maori, 1997
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Cook Island MaoriI-E-KO-KO! An Introduction to Cook Islands Màori, 2008
Kai Kōrero, A Cook Islands Maori language coursbook (with audio), 1995, by Tai Tepuatoerā Tuperu Carpentier and Clive Beaumont
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HawaianLearn Hawaian at home, 1992, by Kahikāhealani Wight
Hawaian Grammar, 1979 by Samuel H. Elbert & Mary Kawena Pukui
(I also have older docs + some Hawaian dictionnaries)
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SamoanGagana Sāmoa A language coursebook (with audio), 2009
(+ other didactic material aimed at teachers, not really grammar but could be helpful :
Mua Ō! An Introduction to Gagana Sāmoa Guidelines & Teacher's guide, 2009)
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TonganC. Maxwell Churchward,
Tongan Grammar, 1953 (may be outdated)
Faufaua, an introduction to Tongan, 2010 (teacher's guide, not so much content)
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MarquesanMrg René Ildefonse Dordillon,
Grammaire et Dictionnaire Marquisien-Français (1931) (I have no idea of the acurateness of this very old dictionary and grammar!) (in French)
But you can buy/
read on google books : Edgar Tetahiotupa,
Parlons Marquisien, 2009 (in French)
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WallisianKarl Rensch,
Parler Wallisien, 2001 (with audio) (in French)
Karl Rensch,
Dictionnaire wallisien-français, 1984
+ various grammar papers and documents from linguist Claire Moyse-Faurie (in French)
(for more info on Wallisian,
you can check my thread there !)
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East FutunanClaire Moyse-Faurie, dictionnaire Futunien français (
available online via google books here)
Claire Moyse Faurie, Grammaire du futunien, 1997 (not on my computer and not available online
)
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TuvaluanNiko Besnier -
Tuvaluan, A Polynesian Language of the Central Pacific Descriptive Grammars, 2000 (excellent ressource, sadly no dictionary or any other resource for Tuvaluan).
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NiueanHaia! An Introduction to Vagahau Niue, 2010 (teacher's guide, not so much content)
Sadly, I don't have a grammar of Niuean... I have however a Niuean-English dictionary (1997)
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TokelauanTokelau Dictionary, 1986
Tau Gagana Tokelau, introductory tokelau language resource, 2009 (coursebook rather than grammar)
Muakiga, an Introduction to Gagana Tokelau (teacher's guide, not so much content)
Gagana Tokelau, The Tokelau Language Guidelines, 2009 (idem, few grammar content)
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Sikaiana (Polynesian outlier language)William W Donner,
Sikaiana Dictionary (with detailled grammar), 2012
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West-Futuna Aniwa (Polynesian outlier language)Janet W. D. Dougherty,
West Futuna Aniwa - An Introduction to a Polynesian Outlier Language, 1983