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Riesz transforms and commutators in the Dunkl setting

open access: yesAnalysis and Mathematical Physics
In this paper we characterise the optimal pointwise size and regularity estimates for the Dunkl Riesz transform kernel involving both the Euclidean metric and the Dunkl metric, where these two metrics are not equivalent. We further establish a suitable version of the pointwise kernel lower bound of the Dunkl Riesz transform via the Euclidean metric ...
Han, Yongsheng   +3 more
openaire   +2 more sources

Improved estimates for the triangle inequality. [PDF]

open access: yesJ Inequal Appl, 2017
Minculete N, Păltănea R.
europepmc   +1 more source

Revisiting Beurling's theorem for Dunkl transform

open access: yes, 2015
We prove an analogue of Beurling's theorem in the setting of Dunkl transform, which improves the theorem of Kawazoe-Mejjaoli (\cite{Kawazoe}).
openaire   +1 more source

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