Commutators of Higher Order Riesz Transform Associated with Schrödinger Operators
Joint Authors
Dong, Jianfeng
Wang, Lijuan
Liu, Yu
Source
Journal of Function Spaces and Applications
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-27
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Let L=-Δ+V be a Schrödinger operator on ℝn (n≥3), where V≢0 is a nonnegative potential belonging to certain reverse Hölder class Bs for s≥n/2.
In this paper, we prove the boundedness of commutators ℛbHf=bℛHf-ℛH(bf) generated by the higher order Riesz transform ℛH=∇2(-Δ+V)-1, where b∈BMOθ(ρ), which is larger than the space BMO(ℝn).
Moreover, we prove that ℛbH is bounded from the Hardy space HL1(ℝn) into weak Lweak1(ℝn).
American Psychological Association (APA)
Liu, Yu& Wang, Lijuan& Dong, Jianfeng. 2013. Commutators of Higher Order Riesz Transform Associated with Schrödinger Operators. Journal of Function Spaces and Applications،Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-502584
Modern Language Association (MLA)
Liu, Yu…[et al.]. Commutators of Higher Order Riesz Transform Associated with Schrödinger Operators. Journal of Function Spaces and Applications No. 2013 (2013), pp.1-15.
https://search.emarefa.net/detail/BIM-502584
American Medical Association (AMA)
Liu, Yu& Wang, Lijuan& Dong, Jianfeng. Commutators of Higher Order Riesz Transform Associated with Schrödinger Operators. Journal of Function Spaces and Applications. 2013. Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-502584
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502584