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arXiv · 2607.21942

Dual spaces and T1 theorem of variable Dunkl--Hardy spaces

Jian Tan
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Abstract

In this paper, we identify the dual spaces of variable Dunkl--Hardy spaces using a discrete Dunkl--Calder\'on reproducing formula and the Frazier and Jawerth's method adapted to the variable exponent setting. Furthermore, we prove a $T1$ theorem for Dunkl--Calder\'on--Zygmund operators acting on variable Dunkl--Hardy spaces and on their dual spaces via using almost orthogonal estimate, the duality result and the density argument.

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Jian Tan. 2026-07-24. Dual spaces and T1 theorem of variable Dunkl--Hardy spaces. https://arxiv.org/abs/2607.21942

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