Ulyanov-type Inequalities Between Lorentz-Zygmund Spaces

Abstract

We establish inequalities of Ulyanov-type for moduli of smoothness relating the source Lorentz-Zygmund space and the target space over if and over if The stronger logarithmic integrability (corresponding to ) is balanced by an additional logarithmic smoothness.

Keywords

• Moduli of smoothness
• K-functionals
• Lorentz-Zygmund spaces