摘要
本文研究了一个Hilbert型序列算子,得到其范数.作为应用,给出了一类核为对称-1齐次的Hilbert型不等式的推广式,同时考虑了一些特殊结果.
In this paper, we deal with a Hilbert-type series operator and obtain its norm. As applications, we give some generalizations of Hilbert-type inequalities with symmetric homogeneous kernel of -1-order, also consider some particular results.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
2009年第4期799-806,共8页
Acta Mathematica Sinica:Chinese Series