| Issue |
ITM Web Conf.
Volume 20, 2018
International Conference on Mathematics (ICM 2018) Recent Advances in Algebra, Numerical Analysis, Applied Analysis and Statistics
|
|
|---|---|---|
| Article Number | 02005 | |
| Number of page(s) | 21 | |
| Section | Numerical and Applied Analysis | |
| DOI | https://doi.org/10.1051/itmconf/20182002005 | |
| Published online | 12 October 2018 | |
Regularity for the second order Riesz transforms associated with Schrödinger operators on weighted BMO type spaces
1
Faculty of Mathematics and Computer Science, VUNHCM - University of Science, Department of Primary Education, HoChiMinh City University of Education, Ho Chi Minh city, Vietnam, Vietnam
2
Applied Analysis Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam
3
Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton
Duc Thang University, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Ho Chi Minh City, Vietnam, Vietnam
*
e-mail: trongnn37@gmail.com
**
e-mail: daonguyenanh@tdtu.edu.vn
***
e-mail: lxuantruong@gmail.com
Let L = −Δ + V be a Schrödinger operator on ℝn, where V is a nonnegative potential satisfying the suitable reverse Hölder’s inequality. In this paper, we study the boundedness of the second order Riesz transforms such as L−1∇2 on the spaces of BMO type for weighted case. We generalized the known results to the weighted case.
Key words: Riesz transform / Schrödinger operator / BMO type space / weights
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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