Global Hölder Estimates via Morrey Norms for Hypoelliptic Operators with Drift
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 mat...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/2805457 |
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| Summary: | 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. |
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| ISSN: | 2314-8896 2314-8888 |