A new Hilbert-type operator and applications

作者：Yang; Bicheng

来源：Publicationes Mathematicae-Debrecen, 2010, 76(1-2): 147-156.

• Hilbert-type operator
• weight coefficient
• kernel

By using the way of weight coefficient and the theory of operators, we define a new Hilbert-type operator with the non-decreasing homogeneous kernel and obtain its norm. As applications, an extended theorem on Hilbert-type inequalities with the homogeneous kernel of -lambda-degree is established, and some particular cases are considered.

• 出版日期2010-1
• 单位广东第二师范学院