一类新的广义的Hilbert型奇异积分算子的范数

On the Norm of a New and Genegral Hilbert’s Type Singular Integral Operator

摘要: 在区间(0,b)上,定义了一个带参数的核为1 (x+y)λ的Hilbert型奇异积分算子T,利用权函数方法和实分析技巧研究了它的界并求出算子的模.考虑其涉及内积的等价形式,还给出了一些相关不等式.

Abstract: A Hilbert type singular multiple integal operator with parameters is defined in (0,b)，using weight function and the method of real analysis, the boundary and norm of Tare studied．The equivalent forms with inner product are considered, and some related inequalities are also given