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| TITLE | Equivalence of (Quasi-)Norms on a Vector-Valued Function Space and its Applications to Multilinear Operators |
|---|---|
| KIAS AUTHORS | Park, Bae Jun |
| JOURNAL | INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2021 |
| ARCHIVE | |
| ABSTRACT | In this paper we present (quasi-)norm equivalence on a vector-valued function space L-A(p)(l(q)) and extend the equivalence to p = infinity and 0 < q < infinity in the scale of Triebel-Lizorkin space, motivated by Frazier-Jawerth [12]. By applying the results, we improve the multilinear Hormander multiplier theorem of Tomita [36], that of Grafakos-Si [21], and the boundedness results for bilinear pseudo differential operators, given by Koezuka-Tomita [24]. |
