ON WEIGHTED INTEGRABILITY OF DOUBLE COSINE SERIES

Authors
RAM B BHATIA SS
Citation
B. Ram et Ss. Bhatia, ON WEIGHTED INTEGRABILITY OF DOUBLE COSINE SERIES, Journal of mathematical analysis and applications, 208(2), 1997, pp. 510-519
Citations number
6
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
208
Issue
2
Year of publication
1997
Pages
510 - 519
Database
ISI
SICI code
0022-247X(1997)208:2<510:OWIODC>2.0.ZU;2-L
Abstract
In this paper we study weighted integrability of the sum of double cos ine series. The results obtained extend a theorem of Moricz [Proc. Ame r. Math. Sec. 109 (1990) 417-425] on L-p-integrability of double cosin e series and two theorems of Askey and Wainger [Duke Math. J. 33 (1966 ) 223-228] on weighted L-p-norms. (C) 1997 Academic Press.