The Higher Order Riesz Transform and BMO Type Space Associated with Schrödinger Operators on Stratified Lie Groups
Joint Authors
Source
Journal of Function Spaces and Applications
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 and Applications،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-475254
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 and Applications No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-475254
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 and Applications. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-475254
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475254