Boundedness of Dunkl–Riesz transforms on Dunkl–Besov spaces

We establish a theory of Besov spaces in the Dunkl setting, including the Calderón reproducing formula and duality. As an application, the boundedness of Dunkl–Riesz transforms on these spaces is proved.

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Publication Details

Journal
Illinois Journal of Mathematics
Published
2024-12-01
DOI
https://doi.org/10.1215/00192082-11670849
Primary Topic
Mathematical Analysis and Transform Methods
Type
article
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article

Boundedness of Dunkl–Riesz transforms on Dunkl–Besov spaces

Keng Hao Ooi, Ming-Yi Lee, Chin-Cheng Lin
Illinois Journal of Mathematics
Mathematical Analysis and Transform Methods
article

Boundedness of Dunkl–Riesz transforms on Dunkl–Besov spaces

Keng Hao Ooi, Ming-Yi Lee, Chin-Cheng Lin
article en

Abstract

We establish a theory of Besov spaces in the Dunkl setting, including the Calderón reproducing formula and duality. As an application, the boundedness of Dunkl–Riesz transforms on these spaces is proved.

Illinois Journal of MathematicsVol. 68(4)
National Taiwan Normal University (TW), National Central University (TW)
Reduced inequalities
Openalex Percentile: Top 57%
Mathematical Analysis and Transform Methods
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Boundedness of Dunkl–Riesz transforms on Dunkl–Besov spaces — Keng Hao Ooi, Ming-Yi Lee, et al. · Illinois Journal of Mathematics (2024) | TGRS Research Map | TGRS