Global Hölder Estimates via Morrey Norms for Hypoelliptic Operators with Drift
| Autor: | Yuexia Hou, Pengcheng Niu |
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| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Journal of Function Spaces, Vol 2017 (2017) |
| Druh dokumentu: | article |
| ISSN: | 2314-8896 2314-8888 |
| DOI: | 10.1155/2017/2805457 |
| Popis: | Suppose that X0,X1,…,Xm are left invariant real vector fields on the homogeneous group G with X0 being homogeneous of degree two and X1,…,Xm homogeneous of degree one. In the paper we study the hypoelliptic operator with drift of the kind L=∑i,j=1maijXiXj+a0X0, where a0≠0 and (aij) is a constant matrix satisfying the elliptic condition on Rm. By proving the boundedness of two integral operators on the Morrey spaces with two weights, we obtain global Hölder estimates for L. |
| Databáze: | Directory of Open Access Journals |
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