2026-04-17T03:55:05Zhttps://recercat.cat/oai/request

oai:recercat.cat:2072/3776532024-12-20T12:49:21Zcom_2072_199267com_2072_4427col_2072_199862

Ulyanov-type inequalities between Lorentz-Zygmund spaces Gogatishvili, A. Opic, B. Tikhonov, S. Trebels, W. We establish inequalities of Ulyanov-type for moduli of smoothness relating the source Lorentz-Zygmund space $ \, L^{p,r}(\log L)^{\alpha -\gamma},\, \gamma >0,$ and the target space $ \, L^{p^*,s}(\log L)^\alpha $ over $ \, {\mathbb R}^n$ if $ \, 1<p<p^*<\infty$ and over $ \, \mathbb{T}^n$ if $ \, 1<p \le p^*<\infty.$ The stronger logarithmic integrability (corresponding to $ \, L^{p^*,s}(\log L)^\alpha $ ) is balanced by an additional logarithmic smoothness. 2020-10-21T13:38:57Z 2024-09-19T13:15:43Z 2020-10-21T13:38:57Z 2024-09-19T13:15:43Z 2020-10-21T13:38:57Z 2024-09-19T13:15:43Z 2014-01-01 info:eu-repo/semantics/preprint http://hdl.handle.net/2072/377653 eng info:eu-repo/semantics/openAccess L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons:http://creativecommons.org/licenses/by-nc-nd/4.0/ RECERCAT (Dipòsit de la Recerca de Catalunya)