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 it...
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| Veröffentlicht in: | Acta mathematica Sinica. English series 2023-08, Vol.39 (8), p.1565-1579 |
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| container_issue | 8 |
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| container_title | Acta mathematica Sinica. English series |
| container_volume | 39 |
| creator | Aimar, Hugo Crescimbeni, Raquel Nowak, Luis |
| 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. |
| doi_str_mv | 10.1007/s10114-023-1254-3 |
| format | Article |
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| subjects | Kernels Mathematics Mathematics and Statistics Operators (mathematics) |
| title | Singular Integrals with Variable Kernels in Dyadic Settings |
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