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- W2912103028 abstract "In this paper, we investigate the Besov spaces on compact Lie groups in a subelliptic setting, that is, associated with a family of vector fields, satisfying the Hörmander condition, and their corresponding sub-Laplacian. Embedding properties between subelliptic Besov spaces and Besov spaces associated to the Laplacian on the group are proved. We link the description of subelliptic Sobolev spaces with the matrix-valued quantisation procedure of pseudo-differential operators to provide sharp subelliptic Sobolev and Besov estimates for operators in the (ρ,δ)-Hörmander classes. In contrast with the available results in the literature in the setting of compact Lie groups, we allow Fefferman-type estimates in the critical case ρ=δ. Interpolation properties between Besov spaces and Triebel–Lizorkin spaces are also investigated." @default.
- W2912103028 created "2019-02-21" @default.
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- W2912103028 date "2023-05-02" @default.
- W2912103028 modified "2023-09-26" @default.
- W2912103028 title "Boundedness of pseudo-differential operators in subelliptic Sobolev and Besov spaces on compact Lie groups" @default.
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- W2912103028 doi "https://doi.org/10.1080/17476933.2023.2196416" @default.
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