REPRESENTATION OF INTEGRAL OPERATORS ON W22(Ω) OF REPRODUCING KERNELS

  • LEE, DONG-MYUNG (Department of Mathematics Won Kwang University) ;
  • LEE, JEONG-GON (Department of Mathematics Won Kwang University) ;
  • CUI, MING-GEN (Harbin Institute of Technology (WEI HAI branch Institute))
  • Received : 2004.07.27
  • Published : 2004.12.25

Abstract

We prove that if ${\mathbb{K}}^*$ is adjoint operator on $W_2{^2}({\Omega})$, then ${\mathbb{K}}^*v(t,\;{\tau})=,\;v(x,\;y){\in}W_2{^2}({\Omega})$ ; it is also related to the decomposition of solution of Fredholm equations.

Keywords

Absolutely continuous;Fredholm equation;Integral operator;Reproducing Kernel

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