Sumit Parashar

collaborators

3 papers

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 Dunkl-type Morrey spaces and Dunkl-type Campanato spaces. Furthermore, we introduce…

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}…

math.CA2025

Hardy-Littlewood maximal, generalized Bessel-Riesz and generalized fractional integral operators in generalized Morrey and $B M O_{I ¨} $ spaces associated with Dunkl operator on the real line

Sumit Parashar, Saswata Adhikari

The analysis of Morrey spaces, generalized Morrey spaces and $B M O_{I ¨} $ spaces related to the Dunkl operators on $R$ are covered in this paper. We prove the boundedness of t…

Hausdorff operators and fractional Hausdorff operators in the Dunkl setting

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

Hardy-Littlewood maximal, generalized Bessel-Riesz and generalized fractional integral operators in generalized Morrey and BMOI¨​ spaces associated with Dunkl operator on the real line

Hardy-Littlewood maximal, generalized Bessel-Riesz and generalized fractional integral operators in generalized Morrey and $B M O_{I ¨} $ spaces associated with Dunkl operator on the real line