5 papers
Normed Köthe space structure and Köthe duals of variable-exponent Fofana spaces and their preduals
Nouffou Diarra, Pokou Nagacy, Bérenger Akon Kpata
Fofana spaces, introduced on the basis of Wiener amalgam spaces, have attracted some interest recently and have found applications in the field of partial differential equations. I…
Fractional integral and fractional maximal operators on generalized Fofana spaces
Pokou Nagacy, Bérenger Akon Kpata, Nouffou Diarra
Generalized Fofana spaces were recently introduced as generalizations of Fofana spaces and Nakai's generalized Morrey spaces. In this paper, we establish the boundedness properties…
Boundedness of the Hardy-Littlewood maximal operator on generalized fofana spaces
Pokou Nagacy, Berenger Akon Kpata, Nouffou Diarra
We introduce generalized Fofana spaces and we give some of their basic properties. These spaces are a kind of generalization of generalized Morrey spaces. As application, we establ…
Analysis of the weak formulation of a coupled nonlinear parabolic system modeling a heat exchanger
Ali Ouattara Kouma, Gossrin Jean-Marc Bomisso, Bérenger Akon Kpata +1
This paper establishes the existence, uniqueness and time-space regularity of the weak solution to a nonlinear coupled parabolic system modeling temperature evolution in a coaxial…
Norm inequalities for Dunkl-type fractional integral and fractional maximal operators in the Dunkl-Fofana spaces
Pokou Nagacy, Justin Feuto, Berenger Akon Kpata
We establish some new properties of the Dunkl-Wiener amalgam spaces defined on the real line. These results allow us to obtain the boundedness of Dunkl-type fractional integral and…