Bochner's subordination and fractional caloric smoothing in Besov and Triebel–Lizorkin spaces
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
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.
Details
| Original language | English |
|---|---|
| Pages (from-to) | 363-376 |
| Number of pages | 14 |
| Journal | Mathematische Nachrichten |
| Volume | 295 |
| Issue number | 2 |
| Publication status | Published - Feb 2022 |
| Peer-reviewed | Yes |
Keywords
ASJC Scopus subject areas
Keywords
- caloric smoothing, function spaces, Gauß–Weierstraß semigroup, subordination