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- W3123820022 abstract "Let H=−Δ+|x|2 be the harmonic oscillator on Rn. In this paper, we prove estimates on Besov spaces associated to the operator H and the end-point maximal regularity estimates for the fractional harmonic oscillator Hα, 0<α≤1, on the Besov spaces associated to the harmonic oscillator H. These spaces are the appropriate function spaces for the study of estimates on Besov type spaces and the end-point maximal regularity estimates for the fractional power Hα in the sense that similar estimates might fail with the classical Besov spaces." @default.
- W3123820022 created "2021-02-01" @default.
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- W3123820022 date "2021-04-01" @default.
- W3123820022 modified "2023-09-25" @default.
- W3123820022 title "Regularity estimates for the Cauchy problem to a parabolic equation associated to fractional harmonic oscillators" @default.
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- W3123820022 doi "https://doi.org/10.1016/j.jde.2021.01.013" @default.
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