Parabolic Singular Integrals with Nonhomogeneous Kernels
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866916776245198848 |
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| author | Bortz, Simon Hoffman, John Hofmann, Steve Garcia, Jose-Luis Luna Nystrom, Kaj |
| author_facet | Bortz, Simon Hoffman, John Hofmann, Steve Garcia, Jose-Luis Luna Nystrom, Kaj |
| contents | We establish $L^2$ boundedness of all "nice" parabolic singular integrals on "Good Parabolic Graphs", aka {\em regular} Lip(1,1/2) graphs. The novelty here is that we include non-homogeneous kernels, which are relevant to the theory of parabolic uniform rectifiability. Previously, the third named author had treated the case of homogeneous kernels. The present proof combines the methods of that work (which in turn was based on methods described in Christ's CBMS lecture notes), with the techniques of Coifman-David-Meyer. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_12830 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Parabolic Singular Integrals with Nonhomogeneous Kernels Bortz, Simon Hoffman, John Hofmann, Steve Garcia, Jose-Luis Luna Nystrom, Kaj Classical Analysis and ODEs Analysis of PDEs 42B20, 28A75 We establish $L^2$ boundedness of all "nice" parabolic singular integrals on "Good Parabolic Graphs", aka {\em regular} Lip(1,1/2) graphs. The novelty here is that we include non-homogeneous kernels, which are relevant to the theory of parabolic uniform rectifiability. Previously, the third named author had treated the case of homogeneous kernels. The present proof combines the methods of that work (which in turn was based on methods described in Christ's CBMS lecture notes), with the techniques of Coifman-David-Meyer. |
| title | Parabolic Singular Integrals with Nonhomogeneous Kernels |
| topic | Classical Analysis and ODEs Analysis of PDEs 42B20, 28A75 |
| url | https://arxiv.org/abs/2103.12830 |