On Compactness of Regular Integral Operators in the Space L1

被引：0

作者：

B. N. Yengibaryan

N. B. Yengibaryan

机构：

[1] Institute of Mathematics of NAS RA,

来源：

Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) | 2018年 / 53卷

关键词：

Compactness of integral operator in the space of summable functions; error estimate; potential type kernel; convolution equation; transport equation; 45A05; 45H05; 45D05;

D O I：

暂无

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学科分类号：

摘要：

In this paper we obtain a sufficient condition for quite continuity of Fredholm type integral operators in the space L1(a, b). Uniform approximations by operators with degenerate kernels of horizontally striped structures are constructed. A quantitative error estimate is obtained. We point out the possibility of application of the obtained results to second kind integral equations, including convolution equations on a finite interval, equations with polar kernels, one-dimensional equations with potential type kernels, and some transport equations in non-homogeneous layers.

引用

页码：317 / 320

页数：3