The Higher Order Riesz Transform and BMO Type Space Associated with Schrödinger Operators on Stratified Lie Groups
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-22
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Assume that G is a stratified Lie group and Q is the homogeneous dimension of G.
Let -Δ be the sub-Laplacian on G and W≢0 a nonnegative potential belonging to certain reverse Hölder class Bs for s≥Q/2.
Let L=-Δ+W be a Schrödinger operator on the stratified Lie group G.
In this paper, we prove the boundedness of some integral operators related to L, such as L-1∇2, L-1W, and L-1(-Δ) on the space BMOL(G).
American Psychological Association (APA)
Liu, Yu& Dong, Jianfeng. 2013. The Higher Order Riesz Transform and BMO Type Space Associated with Schrödinger Operators on Stratified Lie Groups. Journal of Function Spaces،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-1006099
Modern Language Association (MLA)
Liu, Yu& Dong, Jianfeng. The Higher Order Riesz Transform and BMO Type Space Associated with Schrödinger Operators on Stratified Lie Groups. Journal of Function Spaces No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-1006099
American Medical Association (AMA)
Liu, Yu& Dong, Jianfeng. The Higher Order Riesz Transform and BMO Type Space Associated with Schrödinger Operators on Stratified Lie Groups. Journal of Function Spaces. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-1006099
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1006099