In this paper, we obtained a necessary and sufficient condition for the embedding H?q([0,1])? IBVqp([0,1]), where IBVq p denotes set of functions bounded q-integral p-variation. Additionally, conditions composition superposition operators were provided to map space H?q([0,1]) into itself, by which these bounded. Finally, applied results examine existence uniqueness solutions Hammerstein integra...

planar d-bar integral equation is one of the inverse scattering solution methods for complex problems including inverse conductivity considered in applications such as electrical impedance tomography (eit). recently two different methodologies are considered for the numerical solution of d-bar integrals equation, namely product integrals and multigrid. the first one involves high computational ...