Revista de la
Unión Matemática Argentina
Variable Calderón–Hardy spaces on the Heisenberg group
Pablo Rocha

Volume 69, no. 1 (2026), pp. 303–318    

Published online (final version): March 18, 2026

https://doi.org/10.33044/revuma.5270

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Abstract

We introduce Calderón–Hardy type spaces with variable exponents on the Heisenberg group and investigate their properties. As an application, we prove that the Heisenberg sub-Laplacian is a bijective mapping from variable Calderón–Hardy spaces onto the corresponding variable Hardy spaces.

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