scholarly journals Boundedness of second-order Riesz transforms on weighted Hardy and BMO spaces associated with Schrödinger operators

2021 ◽  
Vol 359 (6) ◽  
pp. 687-717
Author(s):  
Trong Nguyen Ngoc ◽  
Truong Le Xuan ◽  
Do Tan Duc
Keyword(s):  
Schrödinger Operators ◽  
Second Order ◽  
Riesz Transforms ◽  
Schrodinger Operators ◽  
Bmo Spaces

scholarly journals Regularity for the second order Riesz transforms associated with Schrödinger operators on weighted BMO type spaces

2018 ◽  
Vol 20 ◽  
pp. 02005
Author(s):  
Trong Nguyen Ngoc ◽  
Dao Nguyen Anh ◽  
L. X. Truong
Keyword(s):  
Schrödinger Operator ◽  
Schrödinger Operators ◽  
Hölder’S Inequality ◽  
Second Order ◽  
Riesz Transforms ◽  
Schrodinger Operators ◽  
Schrodinger Operator ◽  
Weighted Bmo ◽  
Type Spaces ◽  
Weighted Case

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.

scholarly journals Endpoint estimates for Riesz transforms of magnetic Schrödinger operators

2006 ◽  
Vol 44 (2) ◽  
pp. 261-275 ◽  
Author(s):  
Xuan Thinh Duong ◽  
El Maati Ouhabaz ◽  
Lixin Yan
Keyword(s):  
Schrödinger Operators ◽  
Riesz Transforms ◽  
Schrodinger Operators

scholarly journals Product Hardy, BMO spaces and iterated commutators associated with Bessel Schrodinger operators

2019 ◽  
Vol 68 (1) ◽  
pp. 247-289
Author(s):  
Jorge Betancor ◽  
Xuan Duong ◽  
Ji Li ◽  
Brent Wick ◽  
Dongyong Yang
Keyword(s):  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Bmo Spaces ◽  
Iterated Commutators
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