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Partially integral operators with bounded kernels

Authors:

Yu. Kh. Eshkabilov

Affiliation:

1. National University of Uzbekistan, Tashkent, 100174, Uzbekistan

Abstract:

Let Ω = [a, b]^ν and let T be a partially integral operator defined in L ₂(Ω²) as follows:

$ (Tf)(x,y) = int_Omega {q(x,s,y)f(s,y)} dmu (s). $ (Tf)(x,y) = int_Omega {q(x,s,y)f(s,y)} dmu (s).

Keywords:
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