On weighted integrability of double cosine series

[摘要] In this paper we study weighted integrability of the sum of double cosine series. The results obtained extend a theorem of Moricz [Proc. Amer. Math. Sec. 109 (1990) 417-425] on L-p-integrability of double cosine series and two theorems of Askey and Wainger [Duke Math. J. 33 (1966) 223-228] on weighted L-p-norms. (C) 1997 Academic Press.

[发布日期] 1997-04-15