What type of study is this?

This is a Quantitative Study study.

synapse

⌘+K

synapse

⌘+K

October 7, 2025Open Access

The fractional Riesz transform and their commutator in Dunkl setting

Key Points

The study determines the conditions for boundedness of the fractional riesz transforms in the dunkl setting.
Necessary and sufficient conditions for commutator boundedness were established concerning central bmo space and dunkl metric.
Characterization of the commutator's compactness is provided in terms of corresponding types of vmo spaces.
The findings have implications for understanding operators in functional analysis within the context of dunkl theory.

Abstract

In this paper, we study the boundedness of the fractional Riesz transforms in the Dunkl setting. Moreover, we establish the necessary and sufficient conditions for the boundedness of their commutator with respect to the central BMO space associated with Euclidean metric and the BMO space associated with Dunkl metric, respectively. Based on this, we further characterize the compactness of the commutator in terms of the corresponding types of VMO spaces.

Read Full Paperexternally

Mark Helpful

Bookmark

Relay

View Full Paper