The Higher Order Riesz Transform and BMO Type Space Associated with Schrödinger Operators on Stratified Lie Groups
Assume that G is a stratified Lie group and Q is the homogeneous dimension of G. Let -Δ be the sub-Laplacian on G and W≢0 a nonnegative potential belonging to certain reverse Hölder class Bs for s≥Q/2. Let L=-Δ+W be a Schrödinger operator on the stratified Lie group G. In this paper, we prove the bo...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/483951 |
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| Summary: | Assume that G is a stratified Lie group and Q is the homogeneous dimension of G. Let -Δ be the sub-Laplacian on G and W≢0 a nonnegative potential belonging to certain reverse Hölder class Bs for s≥Q/2. Let L=-Δ+W be a Schrödinger operator on the stratified Lie group G. In this paper, we prove the boundedness of some integral operators related to L, such as L-1∇2, L-1W, and L-1(-Δ) on the space BMOL(G). |
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| ISSN: | 0972-6802 1758-4965 |