Singular integrals with variable kernels in dyadic settings

Singular integrals with variable kernels in dyadic settings

In this paper we explore conditions on variable symbols with respect to Haar systems, defining Calderón-Zygmund type operators with respect to the dyadic metrics associated to the Haar bases.We show that Petermichl's dyadic kernel can be seen as a variable kernel singular integral and we extend...

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Veröffentlicht in:arXiv.org 2021-01
Hauptverfasser: Aimar, Hugo, Crescimbeni, Raquel, Nowak, Luis
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Operators (mathematics)
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description In this paper we explore conditions on variable symbols with respect to Haar systems, defining Calderón-Zygmund type operators with respect to the dyadic metrics associated to the Haar bases.We show that Petermichl's dyadic kernel can be seen as a variable kernel singular integral and we extend it to dyadic systems built on spaces of homogeneous type.
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title Singular integrals with variable kernels in dyadic settings
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