On Weighted Integrability of Double Cosine Series

In this paper we study weighted integrability of the sum of double cosine series. The results obtained extend a theorem of M´oricz w Proc. Amer. Math. Soc. 109 1990.417]425xon Lp-integrability of double cosine series and two theorems of Askey and Wainger w Duke Math. J. 33 1966.223]228xon weighted Lp-norms.