Commutators of Higher Order Riesz Transform Associated with Schrödinger Operators
Joint Authors
Dong, Jianfeng
Wang, Lijuan
Liu, Yu
Source
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،Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-1006285
Modern Language Association (MLA)
Liu, Yu…[et al.]. Commutators of Higher Order Riesz Transform Associated with Schrödinger Operators. Journal of Function Spaces No. 2013 (2013), pp.1-15.
https://search.emarefa.net/detail/BIM-1006285
American Medical Association (AMA)
Liu, Yu& Wang, Lijuan& Dong, Jianfeng. Commutators of Higher Order Riesz Transform Associated with Schrödinger Operators. Journal of Function Spaces. 2013. Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-1006285
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1006285