Cím: | On the Riemann summability of Fourier integrals and real Hardy spaces. |
Szerző: | M\'oricz, Ferenc |
Forrás: | Math. Nachr. 219, 163-180 (2000). |
Nyelv: | English |
Absztrakt: | Riemann means of single and multiple Fourier integrals are considered
for functions belonging to $L^1$ or the real Hardy spaces. It
is proved that the maximal Riemann operator is bounded from $H^1(\bbfR)$
into $L^1(\bbfR)$ and from $L^1(\bbfR)$ into week $L^1(\bbfR)$.
Similar results are established in two dimensions. The maximal
conjugate Riemann operators and the pointwise convergence of
the conjugate Riemann means are also studied.}
\RV{Boris Rubin (Jerusalem) |
Letöltés: | | Zentralblatt |