Bochner's subordination and fractional caloric smoothing in Besov and Triebel–Lizorkin spaces
We use Bochner's subordination technique to obtain caloric smoothing estimates in Besov‐ and Triebel–Lizorkin spaces. Our new estimates extend known smoothing results for the Gauß–Weierstraß, Cauchy–Poisson and higher‐order generalized Gauß–Weierstraß semigroups. Extensions to other function sp...
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| Veröffentlicht in: | Mathematische Nachrichten 2022-02, Vol.295 (2), p.363-376 |
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| container_title | Mathematische Nachrichten |
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| creator | Knopova, Victoriya Schilling, René L. |
| description | We use Bochner's subordination technique to obtain caloric smoothing estimates in Besov‐ and Triebel–Lizorkin spaces. Our new estimates extend known smoothing results for the Gauß–Weierstraß, Cauchy–Poisson and higher‐order generalized Gauß–Weierstraß semigroups. Extensions to other function spaces (homogeneous, hybrid) and more general semigroups are sketched. |
| doi_str_mv | 10.1002/mana.202000061 |
| format | Article |
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| subjects | caloric smoothing Estimates Function space function spaces Gauß–Weierstraß semigroup Semigroups Smoothing subordination |
| title | Bochner's subordination and fractional caloric smoothing in Besov and Triebel–Lizorkin spaces |
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