11 papers
The Fractional Half Dirac Operator Over Sobolev Spaces
Dejenie A. Lakew
Let a bounded and smooth domain in the n dimensional Euclidean space be given and consider a boundary value problem of the half order Dirac operator and its power, with f be the va…
On Orthogonal Decomposition of a Sobolev Space
Dejenie A. Lakew
The theme of this short article is to investigate an orthogonal decomposition of a Sobolev space and look at some properties of the inner product therein and the distance defined f…
New Proofs on Properties of an Orthogonal Decomposition of a Hilbert Space
Dejenie A. Lakew
We establish new and different kinds of proofs of properties that arise due to the orthogonal decomposition of the Hilbert space, including projections, over the unit interval of o…
On Orthogonal Decomposition of a Hilbert Space
Dejenie A. Lakew
In this short article we show an orthogonal decomposition of a Hilbert space as a sum of null solutions of the first derivative and the first derivative of a traceless higher order…
Clifford Analysis on Orlicz-Sobolev Spaces
Dejenie Alemayehu Lakew, Mulugeta Alemayehu Dagnaw
In this article we develop few of the analogous theoretical results of Clifford analysis over Orlicz-Sobolev spaces and study mapping properties of the Dirac operator and the Teodo…
Norm Estimates for Solutions of Elliptic BVPs of the Dirac Operator
Dejenie A. Lakew
We present norm estimates for solutions of first and second order elliptic BVPs of the Dirac operator considered over a bounded and smooth domain of the n-dimension Euclidean space…