Title of article :
Uniformly boundedness of the operator-valued functions arising in the solution of convolution differential-operator equations
Author/Authors :
Musaev, Hummet K. Baku State University, Baku, Azerbaijan
Abstract :
In this paper, the properties of the operator valued functions arising in the solution of convolution differential-operator equations are investigated in weighted Besov spaces. Especially, the uniformly
boundedness of the derivatives for operator-valued functions are established. These results applied to
obtain the boundary value problems for abstract integro-differential equations.
Keywords :
uniformly positive operators , vector valued weighted Besov spaces , operator-valued functions , convolution differential-operator equations
Journal title :
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
