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On Compactness of Regular Integral Operators in the Space L1

  • B. N. YengibaryanEmail author
  • N. B. Yengibaryan
Differential and Integral Equations
  • 7 Downloads

Abstract

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.

Keywords

Compactness of integral operator in the space of summable functions error estimate potential type kernel convolution equation transport equation 

MSC2010 numbers

45A05 45H05 45D05 

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Copyright information

© Allerton Press, Inc. 2018

Authors and Affiliations

  1. 1.Institute of Mathematics of NAS RAYerevanArmenia

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