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On the A -integrability of singular integral transforms

Shobha Madan — 1984

Annales de l'institut Fourier

In this article we study the weak type Hardy space of harmonic functions in the upper half plane R + n + 1 and we prove the A -integrability of singular integral transforms defined by Calderón-Zygmund kernels. This generalizes the corresponding result for Riesz transforms proved by Alexandrov.

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