Cím: | Multipliers of double Fourier transforms and Fourier series on $L\sp 1$. |
Szerző: | D\u{a}ng V\~u Giang; M\'oricz, Ferenc |
Forrás: | Acta Sci. Math. 58, No.1-4, 329-348 (1993). |
Nyelv: | English |
Absztrakt: | We give new sufficient conditions on absolutely continuous functions
on $\bbfR\sp 2$ to be multipliers of double Fourier transforms
on $L\sp 1(\bbfR\sp 2)$. Analogously, we give new conditions
on double sequences of bounded variation to be multipliers of
double Fourier series on $L\sp 1(\bbfT\sp 2)$. We deal not only
with even, but odd and even-odd functions and sequences, respectively.
Our proofs rely on integrability results obtained recently.}
\RV{F.M\'oricz (Szeged) |
Letöltés: | | Zentralblatt |