Ulyanov-type inequalities between Lorentz–Zygmund spaces

0431315 - MÚ 2015 RIV US eng J - Journal Article
Gogatishvili, Amiran - Opic, B. - Tikhonov, S. - Trebels, W.
Ulyanov-type inequalities between Lorentz–Zygmund spaces.
Journal of Fourier Analysis and Applications. Roč. 20, č. 5 (2014), s. 1020-1049. ISSN 1069-5869. E-ISSN 1531-5851
R&D Projects: GA ČR GA13-14743S; GA ČR GA201/08/0383
Institutional support: RVO:67985840
Keywords : moduli of smoothness * K-funkctionals * Lorentz-Zygmund spaces
Subject RIV: BA - General Mathematics
Impact factor: 1.118, year: 2014
http://link.springer.com/article/10.1007/s00041-014-9343-4

We establish inequalities of Ulyanov-type for moduli of smoothness relating the source Lorentz–Zygmund space ... and the target space ... over ... and over .... The stronger logarithmic integrability (corresponding to ... is balanced by an additional logarithmic smoothness.
Permanent Link: http://hdl.handle.net/11104/0235887