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Grushin Operator on Infinite Dimensional Homogeneous Lie Groups
M. E. Egwe, J. I. Opadara
A collection of infinite dimensional complete vector fields acting on a locally convex manifolds on which a smooth positive measure is d…
On Extended Family of Fractional Sobolev Spaces Via Ultradistributions of Slow Growth
Anslem Amaonyeiro, Murphy E Egwe
This paper considers a new version of fractional Sobolev spaces defined using the concept of tempered ultradistributio…
On Tempered Ultradistributions in Classical Sobolev Spaces
A. U. Amaonyeiro, M. E. Egwe
We construct and investigate the properties of tempered ultradistribution spaces in Sobolev spaces. A new Sobolev space preserving the original properties and condition whose deriv…
On Tempered Ultradistributions in Classical Morrey Spaces
Anslem Uche Amaonyeiro, Murphy Egwe
We introduce the notion of tempered ultradistributions in classical Morrey spaces by preserving their respective properties. Moreover we investigate some embedding results within t…
Groupoid Characterization of Partial Algebras on Sobolev Spaces
N. O. Okeke, M. E. Egwe
The -spaces, with , form a partial algebra with pointwise multiplication of functions. The Sobolev spaces , delineated by wea…
Partial Dynamical Systems of -Spaces and their Stability Spaces
N. O. Okeke, M. E. Egwe
Using the convolution product and weak derivatives, we consider the partial dynamical systems of the locally convex spaces defined by the action of the smooth algebra $\ma…