Saswata Adhikari

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math.FA2026

Hausdorff operators and fractional Hausdorff operators in the Dunkl setting

Sumit Parashar, Saswata Adhikari

In this paper, we investigate the boundedness properties of the Dunkl-type Hausdorff operator on generalized Dunkl-type Morrey spaces and generalized Dunkl-type Campanato spaces. F…

math.FA2025

On the Boundedness of Generalized Fractional Integral Operators in Morrey Spaces and Camapanato Spaces associated with the Dunkl Operator on the Real line

Sumit Parashar, Saswata Adhikari

It is known that the Dunkl-type fractional integral operator $I_{β}$ $(0 < β < 2 α + 2 = d_{α})$ is bounded from $L^{p} (R, d μ_{α})$ to $L^{q} (R, d μ_{α})$ when $1 < p < \frac{d _{α}}{β}$ and $\frac{1}…