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Global Hölder Estimates via Morrey Norms for Hypoelliptic Operators with Drift
Joint Authors
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-02-19
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Hou, Yuexia& Niu, Pengcheng. 2017. Global Hölder Estimates via Morrey Norms for Hypoelliptic Operators with Drift. Journal of Function Spaces،Vol. 2017, no. 2017, pp.1-6.
https://search.emarefa.net/detail/BIM-1176373
Modern Language Association (MLA)
Hou, Yuexia& Niu, Pengcheng. Global Hölder Estimates via Morrey Norms for Hypoelliptic Operators with Drift. Journal of Function Spaces No. 2017 (2017), pp.1-6.
https://search.emarefa.net/detail/BIM-1176373
American Medical Association (AMA)
Hou, Yuexia& Niu, Pengcheng. Global Hölder Estimates via Morrey Norms for Hypoelliptic Operators with Drift. Journal of Function Spaces. 2017. Vol. 2017, no. 2017, pp.1-6.
https://search.emarefa.net/detail/BIM-1176373
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1176373