A. Saginashvili

On Volterra Type Singular Integral Equations

abstract:
Conditions for the boundedness are established, and the norms of Volterra type one-dimensional integral operators with fixed singularities of first order in the kernel are calculated in the space $L_2$ with weight. Integral equations of second order, containing the said operators, are investigated. Conditions for the solvability and solution formulas are given.