{ "id": "1702.07201", "version": "v1", "published": "2017-02-23T13:04:05.000Z", "updated": "2017-02-23T13:04:05.000Z", "title": "Boundedness of singular integrals on the flag Hardy spaces on Heisenberg group", "authors": [ "Guorong Hu", "Ji Li" ], "categories": [ "math.CA" ], "abstract": "We prove that the classical one-parameter convolution singular integrals on the Heisenberg group are bounded on multiparameter flag Hardy spaces, which satisfy `intermediate' dilation between the one-parameter anisotropic dilation and the product dilation on $\\mathbb{C}^{n}\\times \\mathbb{R}$ implicitly.", "revisions": [ { "version": "v1", "updated": "2017-02-23T13:04:05.000Z" } ], "analyses": { "keywords": [ "heisenberg group", "classical one-parameter convolution singular integrals", "multiparameter flag hardy spaces", "boundedness", "one-parameter anisotropic dilation" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }