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arXiv · 2412.14994

Cancellation conditions and boundedness of Inhomogeneous Calder\'on-Zygmund operators on local Hardy spaces associate with spaces of homogeneous type

Joel Coacalle·Tiago Picon·Claudio Vasconcelos
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Abstract

In this work, we present sufficient cancellation conditions for the boundedness of inhomogeneous Calder\'on-Zygmund type operators on local Hardy spaces defined over spaces of homogeneous type in the sense of Coifman & Weiss for $ 0<p\leq 1 $. A new approach to atoms and molecules for local Hardy spaces in this setting are introduced with special moment conditions.

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Joel Coacalle, Tiago Picon, Claudio Vasconcelos. 2024-12-19. Cancellation conditions and boundedness of Inhomogeneous Calder\'on-Zygmund operators on local Hardy spaces associate with spaces of homogeneous type. https://doi.org/10.1007/s00208-025-03217-3

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