3 papers
math.FA2020
Boundedness of Dunkl-Hausdorff operator in Lebesgue spaces
Sandhya Jain, Alberto Fiorenza, Pankaj Jain
In this paper, the -boundedness of the Dunkl-Hausdorff operator $\displaystyle H_{\al,ϕ} f(x)=\ent\frac{ |ϕ(t)|}{|t|^{2\al+2}}f\lf(\frac{x}{t}\rh) dt $ has been characte…
math.FA2020
Classical inequalities for pseudo-integral
Pankaj Jain
In this paper, we have derived certain classical inequalities, namely, Young's, Hölder's, Minkowski's and Hermite-Hadamard inequalities for pseudo-integral (also known as -integ…
math.FA2020
On grand Sobolev spaces and pointwise description of Banach function spaces
Pankaj Jain, Anastasia Molchanova, Monika Singh +1
We obtain a pointwise description of functions belonging to function spaces with the lattice property. In particular, it is valid for Banach function spaces provided that the Hardy…