论文标题
在Sjölin-Soria-Soria-Antonov型局部紧凑型组的外推
On Sjölin-Soria-Antonov type extrapolation for locally compact groups
论文作者
论文摘要
Sjölin-Soria-Antonov型型推断定理用于局部紧凑$σ$ -Compact非交流组。作为此结果的应用，表明有界类型的Vilenkin基团上的Vilenkin正顺式系统几乎在$ l \ log^{+log^{+log^{+log^{+log^{+log^{+log^{+log^{+log^{+^{+} l $中，几乎无处不在。
Sjölin-Soria-Antonov type extrapolation theorem for locally compact $σ$-compact non-discrete groups is proved. As an application of this result it is shown that the Fourier series with respect to the Vilenkin orthonormal systems on the Vilenkin groups of bounded type converge almost everywhere for functions from the class $L\log^{+}L\log^{+}\log^{+}\log^{+}L$.
