Semigroup Maximal Functions, Riesz Transforms, and Morrey Spaces Associated with Schrödinger Operators on the Heisenberg Groups
Let L=−Δℍn+V be a Schrödinger operator on the Heisenberg group ℍn, where Δℍn is the sub-Laplacian on ℍn and the nonnegative potential V belongs to the reverse Hölder class Bq with q∈Q/2,∞. Here, Q=2n+2 is the homogeneous dimension of ℍn. Assume that e−tLt>0 is the heat semigroup generated by L. T...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/8839785 |