{ "id": "2202.13584", "version": "v1", "published": "2022-02-28T07:14:14.000Z", "updated": "2022-02-28T07:14:14.000Z", "title": "Fractional integration with singularity on Light-cone", "authors": [ "Zipeng Wang" ], "doi": "10.13140/RG.2.2.28849.86885", "categories": [ "math.CA" ], "abstract": "We study a family of convolution operators whose kernels have a singularity on the light-cone in $\\mathbb{R}^{n+1}$. As a result, we prove a desired ${\\bf L}^p\\to {\\bf L}^q$ norm inequality.", "revisions": [ { "version": "v1", "updated": "2022-02-28T07:14:14.000Z" } ], "analyses": { "keywords": [ "fractional integration", "singularity", "light-cone" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }