Complementary spaces and multipliers of double Fourier series for functions of bounded variation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:250

Article

Baron, S ; Liflyand, E ; Stadtmüller, U

关键词: double Fourier series;    bounded variation;    complementary space;    summability;    multiplier;   

DOI  :  10.1006/jmaa.2000.7173

来源: Elsevier

【 摘 要 】

Complementary spaces for Fourier series were introduced by G. Goes and generalized by M. Tynnov. In this paper we investigate a notion of complementary space for double Fourier series of functions of bounded variation. Various applications are given. (C) 2000 Academic Press.

【 授权许可】

Free