Ulyanov-type inequalities between Lorentz–Zygmund spaces

0431315 - MÚ 2015 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR GA13-14743S; GA ČR GA201/08/0383
Institucionální podpora: RVO:67985840
Klíčová slova: moduli of smoothness * K-funkctionals * Lorentz-Zygmund spaces
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.118, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0235887