3 papers
math.FA2025
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…
math.FA2024
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 ultradistributi…
math.FA2024
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…