The Second-Order Riesz Transforms Related to Schrödinger Operators Acting on BMO Type Spaces on the Stratified Lie Group

2018 ◽  
Vol 46 (3) ◽  
pp. 629-651
Author(s):  
Nguyen Ngoc Trong ◽  
Le Xuan Truong
Keyword(s):  
Lie Group ◽  
Schrödinger Operators ◽  
Second Order ◽  
Riesz Transforms ◽  
Schrodinger Operators ◽  
Stratified Lie Group ◽  
Type 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.

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